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# X^4 + y^4=100. What would be the highest possible value for

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Current Student
Joined: 11 May 2008
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X^4 + y^4=100. What would be the highest possible value for [#permalink]  03 Aug 2008, 17:37
X^4 + y^4=100. What would be the highest possible value for X?

A 0-3
B 3-6
C 6-9
D 9-12
E 12 –15
Senior Manager
Joined: 23 May 2006
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Re: highest power [#permalink]  03 Aug 2008, 18:30
To maximize X we will need to minimize Y. The lowest value that y can have here is 0
Hence x^4 = 100
Now 10^4(1/2) = 10^2 = 100

IMO B
Senior Manager
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Re: highest power [#permalink]  03 Aug 2008, 21:01
agree with x97agarwal.
to get the highest value of x, we need to give y, the lowest value. i.e. 0

now x^4 = 100
x^2 = 10

since 3^2 = 9, X has to be higher than 3 but lower than 4.

so, the correct option is B
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Re: highest power [#permalink]  04 Aug 2008, 11:06
arjtryarjtry wrote:
X^4 + y^4=100. What would be the highest possible value for X?

A 0-3
B 3-6
C 6-9
D 9-12
E 12 –15

B.
Y has to be zero for max 'X'
3^4 = 81
4^4= 256

x shoube > 3 AND <4
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VP
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Re: highest power [#permalink]  04 Aug 2008, 11:17
arjtryarjtry wrote:
X^4 + y^4=100. What would be the highest possible value for X?

A 0-3
B 3-6
C 6-9
D 9-12
E 12 –15

put y=0 for x as highest
hence x^4=100 => x^2=10 => x ~ 3.3 or -3.3

hence IMO B
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Its Now Or Never

Re: highest power   [#permalink] 04 Aug 2008, 11:17
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