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Math Contest 3 months 6 days ago #118470

  • Khriz Kool Katz
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BookwormJo wrote:
Khriz Kool Katz wrote:
BookwormJo wrote:
Khriz Kool Katz wrote:
BookwormJo wrote:
Khriz Kool Katz wrote:
I mean....ahem...you're gonna have to count each possible combination...
Oh no!! There's no way of escaping it?
Only for the first two times. We want to make sure that the formula works.
Okay *sighs*
Wait , I'm confusing myself. The order doesn't matter, so V=1 M=8 and A=1 would be the same combination as V=8 M=1 A=1, right?
No.
In the first one, Manuel gets 8, Victoria gets 1, and Alejandra gets 1. In the second one, Victoria gets 8, Manuel gets 1, and Alejandra gets 1.
If they were the same combination, you would have less than 10 of them.
The order the candies are given in doesn't matter. K?
Less Than 10? I thought 8 + 2 was 10 .
Less than ten combinations
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Math Contest 3 months 6 days ago #118474

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Khriz Kool Katz wrote:
BookwormJo wrote:
Khriz Kool Katz wrote:
BookwormJo wrote:
Khriz Kool Katz wrote:
BookwormJo wrote:
Khriz Kool Katz wrote:
I mean....ahem...you're gonna have to count each possible combination...
Oh no!! There's no way of escaping it?
Only for the first two times. We want to make sure that the formula works.
Okay *sighs*
Wait , I'm confusing myself. The order doesn't matter, so V=1 M=8 and A=1 would be the same combination as V=8 M=1 A=1, right?
No.
In the first one, Manuel gets 8, Victoria gets 1, and Alejandra gets 1. In the second one, Victoria gets 8, Manuel gets 1, and Alejandra gets 1.
If they were the same combination, you would have less than 10 of them.
The order the candies are given in doesn't matter. K?
Less Than 10? I thought 8 + 2 was 10 .
Less than ten combinations
Oh! I see . . . so this is going to be a whole lot longer
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Math Contest 3 months 6 days ago #118494

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811 combination

V=8
M=1
A=1

V=1
M=1
A=8

V=1
M=8
A=1

3 ways

721 combination
6 ways
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Math Contest 3 months 6 days ago #118495

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631 combo
6ways

622 combo
3 ways

541combo
6 ways

532 combo
6ways
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Math Contest 3 months 6 days ago #118496

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451 combo
6ways

442 combo
3 ways

433 combo
3 ways
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Math Contest 3 months 5 days ago #118522

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45 combos
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Math Contest 3 months 4 days ago #118642

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Khriz Kool Katz wrote:
45 combos
I think so. Unless I did something wrong
No one who trusts in God will ever be disappointed.
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Math Contest 2 months 4 weeks ago #119000

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Sorry...I got another question.

How do you solve 2x2 + x - 1 = 0 using the "completing the square" method? Don't worry, I'm not cheating. This is a problem I've been trying to solve for over a week, and I keep getting the same wrong answer, so my mom told me to just not do it. But I still want to know how to solve it, just in case a similar problem pops up on a test.

Thanks!
-- sci_geeek
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Math Contest 2 months 4 weeks ago #119046

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JoyBaker wrote:
JoyBaker wrote:
Thank you for all your prayers and kind words! The results will come in by 8 pm
And here I am again, terrified because of the math contest starting in 15 minutes. 2nd to last contest,
and I understand why I got the ones I did wrong last time, so again, I’m hoping I do better.

glowtxt.com/
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Great is the LORD and most worthy of praise; his greatness no one can fathom.
Psalm 145:3
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Math Contest 2 months 4 weeks ago #119051

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BookwormJo wrote:
Khriz Kool Katz wrote:
45 combos
I think so. Unless I did something wrong
Thanks for the help, Khriz! :cheer: :)
No one who trusts in God will ever be disappointed.
Trust God from the bottom of your heart; don’t try to figure out everything on your own. Proverbs 3:5 MSG

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Math Contest 2 months 4 weeks ago #119062

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BookwormJo wrote:
BookwormJo wrote:
Khriz Kool Katz wrote:
45 combos
I think so. Unless I did something wrong
Thanks for the help, Khriz! :cheer: :)
Haha no problem. :)
#mathisfun
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Math Contest 2 months 4 weeks ago #119064

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sci_geeek wrote:
Sorry...I got another question.

How do you solve 2x2 + x - 1 = 0 using the "completing the square" method? Don't worry, I'm not cheating. This is a problem I've been trying to solve for over a week, and I keep getting the same wrong answer, so my mom told me to just not do it. But I still want to know how to solve it, just in case a similar problem pops up on a test.

Thanks!
-- sci_geeek

Looks like you're gonna need to use the quadratic equation for this one. Luckily for you, I know a shortcut.
First, let's set the equation up for "completing the square".

1. 2x2+x-1=0 (Restating the given)
2. 2x2+x=1 (Added 1 to both sides)
3. x2+x/2=1/2 (Divided both sides by 2)

Now, we have everything set up to add the third number to complete the square. To find it, divide the coefficient of the second term (in this case, 1/2) by 2, and then square it. So, the final number needed is (1/4)2 or 1/16.

4. x2+x/2+1/16=1/2+1/16 (Added 1/16 to both sides)
5. (x+1/4)2= 9/16 (Factored the square and added the fractions)
6. x+1/4=3/4 (Took the square root of both sides)
7. x=1/2 (Subtracted 1/4 from both sides)

And there you have it! ;)
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Math Contest 2 months 3 weeks ago #119091

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Khriz Kool Katz wrote:
sci_geeek wrote:
Sorry...I got another question.

How do you solve 2x2 + x - 1 = 0 using the "completing the square" method? Don't worry, I'm not cheating. This is a problem I've been trying to solve for over a week, and I keep getting the same wrong answer, so my mom told me to just not do it. But I still want to know how to solve it, just in case a similar problem pops up on a test.

Thanks!
-- sci_geeek

Looks like you're gonna need to use the quadratic equation for this one. Luckily for you, I know a shortcut.
First, let's set the equation up for "completing the square".

1. 2x2+x-1=0 (Restating the given)
2. 2x2+x=1 (Added 1 to both sides)
3. x2+x/2=1/2 (Divided both sides by 2)

Now, we have everything set up to add the third number to complete the square. To find it, divide the coefficient of the second term (in this case, 1/2) by 2, and then square it. So, the final number needed is (1/4)2 or 1/16.

4. x2+x/2+1/16=1/2+1/16 (Added 1/16 to both sides)
5. (x+1/4)2= 9/16 (Factored the square and added the fractions)
6. x+1/4=3/4 (Took the square root of both sides)
7. x=1/2 (Subtracted 1/4 from both sides)

And there you have it! ;)
.... me doesn't understand a thing


( ͠─ ‿‿ ͡─)✌
If you say "That's a good question" pls answer THAT QUESTION PLS and thank you :)
Guess What
Nothing
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Math Contest 2 months 3 weeks ago #119097

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Khriz Kool Katz wrote:
sci_geeek wrote:
Sorry...I got another question.

How do you solve 2x2 + x - 1 = 0 using the "completing the square" method? Don't worry, I'm not cheating. This is a problem I've been trying to solve for over a week, and I keep getting the same wrong answer, so my mom told me to just not do it. But I still want to know how to solve it, just in case a similar problem pops up on a test.

Thanks!
-- sci_geeek

Looks like you're gonna need to use the quadratic equation for this one. Luckily for you, I know a shortcut.
First, let's set the equation up for "completing the square".

1. 2x2+x-1=0 (Restating the given)
2. 2x2+x=1 (Added 1 to both sides)
3. x2+x/2=1/2 (Divided both sides by 2)

Now, we have everything set up to add the third number to complete the square. To find it, divide the coefficient of the second term (in this case, 1/2) by 2, and then square it. So, the final number needed is (1/4)2 or 1/16.

4. x2+x/2+1/16=1/2+1/16 (Added 1/16 to both sides)
5. (x+1/4)2= 9/16 (Factored the square and added the fractions)
6. x+1/4=3/4 (Took the square root of both sides)
7. x=1/2 (Subtracted 1/4 from both sides)

And there you have it! ;)
Huh...that's exactly what I did to solve it. Well, mostly. The problem was, this is how they wanted step 7: x= +1/2 - 1/4
Which meant I had to solve it further: x= 1/2 and x= -1
And then I needed to check the problem by inserting 1/2 into the original equation and solving it, and then doing the same with -1. That's what puzzled me. It had to result in zero, and it wouldn't. :dry:
"only the gentle are ever really strong." – james dean

melancholic/phlegmatic ~ infp 2w9 ~ rluan

“we were together. i forget the rest.” – walt whitman

"i write to discover what i know." – flannery o'connor

#presidentofguide
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Math Contest 2 months 3 weeks ago #119123

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sci_geeek wrote:
Khriz Kool Katz wrote:
sci_geeek wrote:
Sorry...I got another question.

How do you solve 2x2 + x - 1 = 0 using the "completing the square" method? Don't worry, I'm not cheating. This is a problem I've been trying to solve for over a week, and I keep getting the same wrong answer, so my mom told me to just not do it. But I still want to know how to solve it, just in case a similar problem pops up on a test.

Thanks!
-- sci_geeek

Looks like you're gonna need to use the quadratic equation for this one. Luckily for you, I know a shortcut.
First, let's set the equation up for "completing the square".

1. 2x2+x-1=0 (Restating the given)
2. 2x2+x=1 (Added 1 to both sides)
3. x2+x/2=1/2 (Divided both sides by 2)

Now, we have everything set up to add the third number to complete the square. To find it, divide the coefficient of the second term (in this case, 1/2) by 2, and then square it. So, the final number needed is (1/4)2 or 1/16.

4. x2+x/2+1/16=1/2+1/16 (Added 1/16 to both sides)
5. (x+1/4)2= 9/16 (Factored the square and added the fractions)
6. x+1/4=3/4 (Took the square root of both sides)
7. x=1/2 (Subtracted 1/4 from both sides)

And there you have it! ;)
Huh...that's exactly what I did to solve it. Well, mostly. The problem was, this is how they wanted step 7: x= +1/2 - 1/4
Which meant I had to solve it further: x= 1/2 and x= -1
And then I needed to check the problem by inserting 1/2 into the original equation and solving it, and then doing the same with -1. That's what puzzled me. It had to result in zero, and it wouldn't. :dry:
So, that means that -1 is an extraneous answer. So the only correct solution is x=1/2
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Math Contest 2 months 3 weeks ago #119138

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The results are here again!!
Warning: Spoiler! [ Click to expand ]

Thank you all!

glowtxt.com/
#Talentshowcasewriter
Great is the LORD and most worthy of praise; his greatness no one can fathom.
Psalm 145:3
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Math Contest 2 months 3 weeks ago #119168

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Khriz Kool Katz wrote:
sci_geeek wrote:
Khriz Kool Katz wrote:
sci_geeek wrote:
Sorry...I got another question.

How do you solve 2x2 + x - 1 = 0 using the "completing the square" method? Don't worry, I'm not cheating. This is a problem I've been trying to solve for over a week, and I keep getting the same wrong answer, so my mom told me to just not do it. But I still want to know how to solve it, just in case a similar problem pops up on a test.

Thanks!
-- sci_geeek

Looks like you're gonna need to use the quadratic equation for this one. Luckily for you, I know a shortcut.
First, let's set the equation up for "completing the square".

1. 2x2+x-1=0 (Restating the given)
2. 2x2+x=1 (Added 1 to both sides)
3. x2+x/2=1/2 (Divided both sides by 2)

Now, we have everything set up to add the third number to complete the square. To find it, divide the coefficient of the second term (in this case, 1/2) by 2, and then square it. So, the final number needed is (1/4)2 or 1/16.

4. x2+x/2+1/16=1/2+1/16 (Added 1/16 to both sides)
5. (x+1/4)2= 9/16 (Factored the square and added the fractions)
6. x+1/4=3/4 (Took the square root of both sides)
7. x=1/2 (Subtracted 1/4 from both sides)

And there you have it! ;)
Huh...that's exactly what I did to solve it. Well, mostly. The problem was, this is how they wanted step 7: x= +1/2 - 1/4
Which meant I had to solve it further: x= 1/2 and x= -1
And then I needed to check the problem by inserting 1/2 into the original equation and solving it, and then doing the same with -1. That's what puzzled me. It had to result in zero, and it wouldn't. :dry:
So, that means that -1 is an extraneous answer. So the only correct solution is x=1/2
Also, whenever you're taking the square root of both sides, most times, you'll end up with an extraneous answer (because of the +). So, you'll have to check that all the answers you find are correct.
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Math Contest 2 months 3 weeks ago #119170

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JoyBaker wrote:
The results are here again!!
Warning: Spoiler! [ Click to expand ]

Thank you all!

Nice work! ;)
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Math Contest 2 months 3 weeks ago #119172

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JoyBaker wrote:
The results are here again!!
Warning: Spoiler! [ Click to expand ]

Thank you all!
Congrats!!
"only the gentle are ever really strong." – james dean

melancholic/phlegmatic ~ infp 2w9 ~ rluan

“we were together. i forget the rest.” – walt whitman

"i write to discover what i know." – flannery o'connor

#presidentofguide
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Math Contest 2 months 3 weeks ago #119175

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Khriz Kool Katz wrote:
sci_geeek wrote:
Khriz Kool Katz wrote:
sci_geeek wrote:
Sorry...I got another question.

How do you solve 2x2 + x - 1 = 0 using the "completing the square" method? Don't worry, I'm not cheating. This is a problem I've been trying to solve for over a week, and I keep getting the same wrong answer, so my mom told me to just not do it. But I still want to know how to solve it, just in case a similar problem pops up on a test.

Thanks!
-- sci_geeek

Looks like you're gonna need to use the quadratic equation for this one. Luckily for you, I know a shortcut.
First, let's set the equation up for "completing the square".

1. 2x2+x-1=0 (Restating the given)
2. 2x2+x=1 (Added 1 to both sides)
3. x2+x/2=1/2 (Divided both sides by 2)

Now, we have everything set up to add the third number to complete the square. To find it, divide the coefficient of the second term (in this case, 1/2) by 2, and then square it. So, the final number needed is (1/4)2 or 1/16.

4. x2+x/2+1/16=1/2+1/16 (Added 1/16 to both sides)
5. (x+1/4)2= 9/16 (Factored the square and added the fractions)
6. x+1/4=3/4 (Took the square root of both sides)
7. x=1/2 (Subtracted 1/4 from both sides)

And there you have it! ;)
Huh...that's exactly what I did to solve it. Well, mostly. The problem was, this is how they wanted step 7: x= +1/2 - 1/4
Which meant I had to solve it further: x= 1/2 and x= -1
And then I needed to check the problem by inserting 1/2 into the original equation and solving it, and then doing the same with -1. That's what puzzled me. It had to result in zero, and it wouldn't. :dry:
So, that means that -1 is an extraneous answer. So the only correct solution is x=1/2
Oh my word, I checked both answers on the calculator and they both were correct!!!!! I literally spent a week on this problem and two similar ones!!!! :angry: :angry:
Thanks :) :) Lol :lol: :lol: :lol:
"only the gentle are ever really strong." – james dean

melancholic/phlegmatic ~ infp 2w9 ~ rluan

“we were together. i forget the rest.” – walt whitman

"i write to discover what i know." – flannery o'connor

#presidentofguide
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Math Contest 2 months 3 weeks ago #119199

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sci_geeek wrote:
Khriz Kool Katz wrote:
sci_geeek wrote:
Khriz Kool Katz wrote:
sci_geeek wrote:
Sorry...I got another question.

How do you solve 2x2 + x - 1 = 0 using the "completing the square" method? Don't worry, I'm not cheating. This is a problem I've been trying to solve for over a week, and I keep getting the same wrong answer, so my mom told me to just not do it. But I still want to know how to solve it, just in case a similar problem pops up on a test.

Thanks!
-- sci_geeek

Looks like you're gonna need to use the quadratic equation for this one. Luckily for you, I know a shortcut.
First, let's set the equation up for "completing the square".

1. 2x2+x-1=0 (Restating the given)
2. 2x2+x=1 (Added 1 to both sides)
3. x2+x/2=1/2 (Divided both sides by 2)

Now, we have everything set up to add the third number to complete the square. To find it, divide the coefficient of the second term (in this case, 1/2) by 2, and then square it. So, the final number needed is (1/4)2 or 1/16.

4. x2+x/2+1/16=1/2+1/16 (Added 1/16 to both sides)
5. (x+1/4)2= 9/16 (Factored the square and added the fractions)
6. x+1/4=3/4 (Took the square root of both sides)
7. x=1/2 (Subtracted 1/4 from both sides)

And there you have it! ;)
Huh...that's exactly what I did to solve it. Well, mostly. The problem was, this is how they wanted step 7: x= +1/2 - 1/4
Which meant I had to solve it further: x= 1/2 and x= -1
And then I needed to check the problem by inserting 1/2 into the original equation and solving it, and then doing the same with -1. That's what puzzled me. It had to result in zero, and it wouldn't. :dry:
So, that means that -1 is an extraneous answer. So the only correct solution is x=1/2
Oh my word, I checked both answers on the calculator and they both were correct!!!!! I literally spent a week on this problem and two similar ones!!!! :angry: :angry:
Thanks :) :) Lol :lol: :lol: :lol:
Haha, I just realized that too lol
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Math Contest 1 month 3 weeks ago #120518

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JoyBaker wrote:
Hello everyone!
I have a few Caribou Math contests coming up.
The first one is tomorrow. :unsure: ...
Hi, the last math contest is tomorrow.
I'll finally be done all contests/competitions for the rest of the year.
I'm so nervous. Again.

glowtxt.com/
#Talentshowcasewriter
Great is the LORD and most worthy of praise; his greatness no one can fathom.
Psalm 145:3
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Math Contest 1 month 3 weeks ago #120552

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JoyBaker wrote:
JoyBaker wrote:
Hello everyone!
I have a few Caribou Math contests coming up.
The first one is tomorrow. :unsure: ...
Hi, the last math contest is tomorrow.
I'll finally be done all contests/competitions for the rest of the year.
I'm so nervous. Again.
gl


Success is not final, failure is not fatal: it is the courage to continue that counts.

DM me in discord: L̴i̸g̵h̸t̷n̴e̸s̴s̵#0474

Osu! account: osu.ppy.sh/users/29681606
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Math Contest 1 month 3 weeks ago #120583

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JoyBaker wrote:
JoyBaker wrote:
Hello everyone!
I have a few Caribou Math contests coming up.
The first one is tomorrow. :unsure: ...
Hi, the last math contest is tomorrow.
I'll finally be done all contests/competitions for the rest of the year.
I'm so nervous. Again.
Good luck! I'm sure you'll do well.
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Math Contest 1 month 3 weeks ago #120605

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JoyBaker wrote:
JoyBaker wrote:
Hello everyone!
I have a few Caribou Math contests coming up.
The first one is tomorrow. :unsure: ...
Hi, the last math contest is tomorrow.
I'll finally be done all contests/competitions for the rest of the year.
I'm so nervous. Again.
You got this, girl!! :cheer: :cheer:
"only the gentle are ever really strong." – james dean

melancholic/phlegmatic ~ infp 2w9 ~ rluan

“we were together. i forget the rest.” – walt whitman

"i write to discover what i know." – flannery o'connor

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