Question

Which of the following correctly completes the square for the equation below?

x2 + 4x = 14

A. (x + 2)2 = 18
B. (x + 2)2 = 30
C. (x + 4)2 = 30
D. (x + 4)2 = 18

Answer 1

Answer: a

Step-by-step explanation: a p e x 2020 confirmed

Answer 2

For this case we have the following equation:
x2 + 4x = 14
By completing squares we have:
x2 + 4x + (4/2) ^ 2 = 14 + (4/2) ^ 2
Rewriting we have:
x2 + 4x + (2) ^ 2 = 14 + (2) ^ 2
x2 + 4x + 4 = 14 + 4
x2 + 4x + 4 = 18
(x + 2) ^ 2 = 18
Answer:
A. (x + 2) 2 = 18