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# If x^4+y^4=100, then the greatest possible value of x is

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If x^4+y^4=100, then the greatest possible value of x is [#permalink]  03 Dec 2006, 05:37
If x^4+y^4=100, then the greatest possible value of x is between

A) 0 and 3
B) 3 and 6
C) 6 and 9
D) 9 and 12
E) 12 and 15
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Re: Greatest Possible Value - GMAT Prep [#permalink]  03 Dec 2006, 05:48
arjsingh1976 wrote:
If x^4+y^4=100, then the greatest possible value of x is between

A) 0 and 3
B) 3 and 6
C) 6 and 9
D) 9 and 12
E) 12 and 15

If I take 0, the least value for y, then the greatest value of x comes to something greater than 3 but less than 4. I would go with B.
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Going with B. Lowest possible value of y^4 can be 0.

3^4 = 81
4^4 > 100

=> x^4+y^4 is between (number between 3 and 4)^4.

If y = 0, x is between 3 and 4
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