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

# 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, Last updated: Jun 02, 2020

### Request 0Follow Share Answer AnonymouslyAnswer Later Copy Link

3 Answers

#### John Adney

John Adney

Answered 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

#### Wbal

Wbal

Answered 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

#### John Smith

John Smith

Answered 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

Search for Google images
Select a recommended image
Upload from your computer
Search for Google images
Select a recommended image
Upload from your computer
Search for Google images
Select a recommended image
Upload from your computer