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7 votes
7 votes
Which of the following correctly completes the square for: x^2+2x=48

A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26

User Swpd
by
2.6k points

2 Answers

6 votes
6 votes

Answer:

hey I'm pretty sure it's B. (x+2)²=49

Explanation:

x²+2x+(2\2)²=48 + (2\2)²

(x+1)²=49

2 over 2 by the power of 2 = 1

User Mauren
by
2.8k points
14 votes
14 votes

Answer:

(x+1)²= 49, the answer is B

Explanation:

x² + 2x = 48

x² + 2x + (2/2)² - (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² - (2/2)²]

(x+1)²= 49, the answer is B

User Ashin Shakya
by
3.1k points