What is the solutions of the equation 2 (x+2) ^2-4=28

Question

Mathematics

Paige Hurst

25 October, 16:09

What is the solutions of the equation 2 (x+2) ^2-4=28

+2

Answers (1)

Know the Answer?

Kaleigh Carrillo · Answer 1

x = 2 x = - 6

Step-by-step explanation:

2 (x+2) ^2-4=28

Add 4 to each side

2 (x+2) ^2-4+4=28+4

2 (x+2) ^2 = 32

Divide by 2

2/2 (x+2) ^2=32/2

(x+2) ^2 = 16

Take the square root of each side

sqrt ((x+2) ^2) = ±sqrt (16)

x+2 = ±4

Subtract 2 from each side

x+2-2 = - 2±4

x = - 2±4

x = - 2+4 and x = - 2-4

x = 2 x = - 6