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x^2+y^2=44
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30 Nov 2021, 06:23
30 Nov 2021, 06:23
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Question Stats:
96% (01:04) correct
4% (03:20) wrong based on 25 sessions
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\(x^2+y^2=44\), and \(xy=4\). What is \((x-y)^2 \)?
(A) 15
(B) 24
(C) 25
(D) 30
(E) 36
(A) 15
(B) 24
(C) 25
(D) 30
(E) 36
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: x^2+y^2=44
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30 Nov 2021, 10:22
30 Nov 2021, 10:22
Carcass wrote:
\(x^2+y^2=44\), and \(xy=4\). What is \((x-y)^2 \)?
(A) 15
(B) 24
(C) 25
(D) 30
(E) 36
(A) 15
(B) 24
(C) 25
(D) 30
(E) 36
Given: x² + y² = 44
Also given: xy = 4
Now recognize that (x - y)² = x² - 2xy + y²
Rearrange (and colorize!) the terms to get: (x - y)² = x² + y² - 2xy = 44 - 2(4) = 44 - 8 = 36
Answer: E
Re: x^2+y^2=44
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04 Jun 2024, 02:40
04 Jun 2024, 02:40
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).
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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.
