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If (a b)^2 = 64 and ab = 3, find a^2 + b^2 (A) 61 (B) 67 (C) 70 (D)
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15 May 2022, 22:49
15 May 2022, 22:49
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Question Stats:
58% (00:38) correct
41% (00:36) wrong based on 17 sessions
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If (a − b)² = 64 and ab = 3, find a² + b²
(A) 61
(B) 67
(C) 70
(D) 58
(E) 69
(A) 61
(B) 67
(C) 70
(D) 58
(E) 69
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
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Re: If (a b)^2 = 64 and ab = 3, find a^2 + b^2 (A) 61 (B) 67 (C) 70 (D)
[#permalink]
16 May 2022, 06:16
16 May 2022, 06:16
2
Carcass wrote:
If (a − b)² = 64 and ab = 3, find a² + b²
(A) 61
(B) 67
(C) 70
(D) 58
(E) 69
(A) 61
(B) 67
(C) 70
(D) 58
(E) 69
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Given: (a − b)² = 64
Expand the left side: a² - 2ab + b² = 64
Replace ab with 3 to get: a² - 2(3) + b² = 64
Simplify: a² - 6 + b² = 64
Add 6 to both sides of the equation: a² + b² = 70
Answer: C
gmatclubot
Re: If (a b)^2 = 64 and ab = 3, find a^2 + b^2 (A) 61 (B) 67 (C) 70 (D) [#permalink]
16 May 2022, 06:16
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