What is x^2 6x + 9 if 2(x 3) = 14? - ProProfs
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What is x^2 - 6x + 9 if 2(x-3) = 14?



A. 7
B. 14
C. 49
D. 108
E. 121

This question is part of SAT Mathematics: Algebra and Simple Geometry Problems
Asked by Proprofs on Mar 07, 2017

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3 Answers

John Adney

John Adney

Answered on Mar 07, 2017

49

2(x-3)=14
2x-6=14
+6=+6
2x=20
DIVIDE BY 2
x=10
input 10 for x. 10^2-6•10+9
100-60+9=49
 Reply

Wbal

Wbal

Answered on Mar 07, 2017

49

2(x-3)=14
2x-6=14
+6=+6
2x=20
DIVIDE BY 2
x=10
input 10 for x. 10^2-6•10+9
100-60+9=49
 Reply

John Smith

John Smith

Answered on Mar 07, 2017

49

2(x-3) = 14, so (x-3) = 7. x^2 - 6x + 9 factors into (x-3)^2. Substitute 7 for (x-3). (x-3)^2 = 7^2 = 49
 Reply

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