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difficult inequality question

Expert replies
by ashish1354 » Wed Sep 10, 2008 1:28 am
can someone help me solve this please
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Source: — Problem Solving |

by parallel_chase » Wed Sep 10, 2008 4:10 am
I think the answer should be B.

p^5 + k^5 = 250

if p>0, the greatest value of k can be 3.

3^5 = 243

Therefore, answer should be between 1.5 and 3.
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by Shrinidhi » Wed Sep 10, 2008 6:02 pm
parallel_chase wrote:I think the answer should be B.

p^5 + k^5 = 250

if p>0, the greatest value of k can be 3.

3^5 = 243

Therefore, answer should be between 1.5 and 3.

I think the answer should be C.
The greatest value of k can be slightly above 3 also. So it should be C
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by bharathaitha » Thu Sep 11, 2008 2:12 am
Yeah i too go with the option C.
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by mals24 » Thu Sep 11, 2008 4:00 am
@ Shrinidhi

I too agree with C i think the greatest value of K should be close to 3.01. But my doubt is can you explain how you got to this value because i had to use the calculator to solve this question.
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by GG04 » Thu Sep 11, 2008 7:31 am
Can someone post the right answer from the source?
I think it is B.
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by pseudononymous » Thu Sep 11, 2008 8:54 am
If p=.0000000000001 then k^5 = 249.99
Now you just have to plug in numbers for k
2 * 2 * 2 * 2 * 2 = 32
3 * 3 * 3 * 3 * 3 = 243
It's going to be slightly larger than 3, hence C (between 3 and 4.5)
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hit me for this :roll:
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