Question

Question is in pic! Plz show work!

Answer 1

Answer:

x = 10   and x = -2

Step-by-step explanation:

The equation has 2 solutions because we have a square.  When things are squares, we get a positive and negative solution.

(x-4)^2 - 28 = 8

Add 28 to each side

(x-4)^2 - 28+28 = 8+28

(x-4)^2  = 36

Take the square root of each side

sqrt((x-4)^2)  = ±sqrt(36)

x-4 = ±6

Add 4 to each side

x-4+4 = 4 ±6

x = 4 ±6

x = 4+6    and   x = 4-6

x = 10   and x = -2