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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
If x^4 + y^4 = 100, then the greatest possible value of x is between
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25 Nov 2021, 04:15
25 Nov 2021, 04:15
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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
A. 0 and 3
B. 3 and 6
C. 6 and 9
D. 9 and 12
E. 12 and 15
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If x^4 + y^4 = 100, then the greatest possible value of x is between
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25 Nov 2021, 05:07
25 Nov 2021, 05:07
1
GeminiHeat 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
A. 0 and 3
B. 3 and 6
C. 6 and 9
D. 9 and 12
E. 12 and 15
In order to maximize the value of x, we must minimize the value of y⁴.
Since y⁴ ≥ 0 for all values of y, the minimum value of y⁴ occurs when y = 0.
If y = 0, we get: x⁴ + 0⁴ = 100
Simplify: : x⁴ = 100
3⁴ = 81 and 4⁴ = 256
Since 100 is between 81 and 256, we know that x is between 3 and 4
Answer: B
Re: If x^4 + y^4 = 100, then the greatest possible value of x is between
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22 Mar 2023, 01:29
22 Mar 2023, 01:29
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