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# If X^4+Y^4=100, then the greatest possible value of X is

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Director
Joined: 25 Oct 2006
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If X^4+Y^4=100, then the greatest possible value of X is [#permalink]  05 Jun 2007, 10:58
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

Manager
Joined: 22 May 2007
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B for me.

y=0

x must be between 3 (3^4=81) and 6 (6^4=not even gonna bother with this one).
VP
Joined: 08 Jun 2005
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My two cents:

If x^4+y^4=100 then the least y^4 will be the greater x^4 will be.
Since y^4 cannot be negative, the least y^4 can be is 0 (when y = 0) so x^4 can be at most x^4=100.

x^4=100 can be simplified to x^2=10 and then to x=sqrt10 = ~ 3.33.

Manager
Joined: 14 Mar 2007
Posts: 238
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For me: to make the greatest possible value for X we have to make the least possible value for Y, considering any possible number. for that reason, will be x^4 = 100 something around 3 and 4.
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