GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
If x^4 + y^4 = 100, then the greatest possible value of x is between
[#permalink]
25 Nov 2021, 04:15
25 Nov 2021, 04:15
1
Expert Reply
1
Bookmarks
00:00
Question Stats:
71% (01:20) correct
28% (00:50) wrong based on 7 sessions
Hide Show timer Statistics
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
[#permalink]
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
[#permalink]
22 Mar 2023, 01:29
22 Mar 2023, 01:29
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
