What are the solutions to the quadratic equation 4 (x + 2) 2 = 36

x = - 11 and x = 7

x = - 7 and x = 11

x = - 5 and x = 1

x = - 1 and x = 5

Question

Mathematics

Kole Rosario

30 December, 06:49

What are the solutions to the quadratic equation 4 (x + 2) 2 = 36

x = - 11 and x = 7

x = - 7 and x = 11

x = - 5 and x = 1

x = - 1 and x = 5

+1

Answers (1)

Know the Answer?

Tasha · Answer 1

x = - 5 and x = 1

Step-by-step explanation:

4 (x + 2) ^2 = 36

Divide each side by 4

4/4 (x + 2) ^2 = 36/4

(x + 2) ^2 = 9

Take the square root of each side

sqrt ((x + 2) ^2) = ±sqrt (9)

x+2 = ±3

Subtract 2 from each side

x+2-2 = - 2 ±3

x = - 2+3 and x = - 2-3

x = 1 and x=-5

What are the solutions to the quadratic equation 4 (x + 2) 2 = 36x = - 11 and x = 7x = - 7 and x = 11x = - 5 and x = 1x = - 1 and x = 5

What are the solutions to the quadratic equation 4 (x + 2) 2 = 36

x = - 11 and x = 7

x = - 7 and x = 11

x = - 5 and x = 1

x = - 1 and x = 5