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If k is equal to the sum of (2x + 1)2 and
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31 Aug 2021, 10:16
31 Aug 2021, 10:16
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Question Stats:
83% (01:00) correct
16% (01:17) wrong based on 18 sessions
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If k is equal to the sum of \((2x + 1)^2\) and \((x − 2)^2\), which of the following is equal to the value of \(\frac{k}{5}\) ?
(A) x(x − 1)
(B) x(x + 1)
(C) (x − 1)(x + 1)
(D) (x − 1)^2
(E) \(x^2 + 1\)
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) x(x − 1)
(B) x(x + 1)
(C) (x − 1)(x + 1)
(D) (x − 1)^2
(E) \(x^2 + 1\)
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Re: If k is equal to the sum of (2x + 1)2 and
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31 Aug 2021, 17:18
31 Aug 2021, 17:18
1
\(4x^2+4x+1+x^2-4x+4=5x^2+5=k\)
\(k/5=x^2+1\) and answer is E
\(k/5=x^2+1\) and answer is E
Carcass wrote:
If k is equal to the sum of \((2x + 1)^2\) and \((x − 2)^2\), which of the following is equal to the value of \(\frac{k}{5}\) ?
(A) x(x − 1)
(B) x(x + 1)
(C) (x − 1)(x + 1)
(D) (x − 1)^2
(E) \(x^2 + 1\)
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) x(x − 1)
(B) x(x + 1)
(C) (x − 1)(x + 1)
(D) (x − 1)^2
(E) \(x^2 + 1\)
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If k is equal to the sum of (2x + 1)2 and
[#permalink]
11 Nov 2021, 12:47
11 Nov 2021, 12:47
Carcass wrote:
If k is equal to the sum of \((2x + 1)^2\) and \((x − 2)^2\), which of the following is equal to the value of \(\frac{k}{5}\) ?
(A) x(x − 1)
(B) x(x + 1)
(C) (x − 1)(x + 1)
(D) (x − 1)^2
(E) \(x^2 + 1\)
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) x(x − 1)
(B) x(x + 1)
(C) (x − 1)(x + 1)
(D) (x − 1)^2
(E) \(x^2 + 1\)
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Given: \(k=(2x + 1)^2+ (x − 2)^2\)
Expand and simplify both powers: \(k=(4x^2+4x+1)+ (x^2-4x+4)\)
Simplify: \(k=5x^2+5\)
From here we can divide both sides by 5 to get: \(\frac{k}{5}=\frac{5x^2+5}{5}=x^2+1\)
Answer: E
