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If 3x – 4 = 11, what is the value of (3x – 4)^2

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If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink] New post 02 Sep 2018, 21:15
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If 3x – 4 = 11, what is the value of \((3x – 4)^2\)


A)22
B)36
C)116
D)121
E)256
[Reveal] Spoiler: OA
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Re: If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink] New post 03 Sep 2018, 12:50
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\(3x-4=11\), then \((3x-4)^2=11^2=121\)
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Re: If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink] New post 04 Sep 2018, 10:45
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amorphous wrote:
If 3x – 4 = 11, what is the value of \((3x – 4)^2\)


A)22
B)36
C)116
D)121
E)256


Approach #1 (fast)
Given: 3x – 4 = 11
Square each side to get: (3x – 4)² = 11²
Evaluate right side to get: (3x – 4)² = 121
Answer: D

Approach #2 (slow)
Given: 3x – 4 = 11
Add 4 to both sides: 3x = 15
Solve: x = 5

So, (3x – 4)² = [3(5) – 4]²
= (15 - 4)²
= (11)²
= 121
Answer: D
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Re: If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink] New post 07 Sep 2018, 19:28
amorphous wrote:
If 3x – 4 = 11, what is the value of \((3x – 4)^2\)


A)22
B)36
C)116
D)121
E)256



Given,

3x - 4 = 11

\((3x - 4)^2 = 11^2\)

\((3x - 4)^2 = 121\)

The best answer is B.
Re: If 3x – 4 = 11, what is the value of (3x – 4)^2   [#permalink] 07 Sep 2018, 19:28
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