Question

3(x+2)^2=48 with word steps

Answer 1

Answer: x = -6, x = 2

Explanation:

3(x+2)^2 = 48

(X+2)^2 = 16 —> divide both sides by 3.

(X+2) = 4 or -4 —> take square root. Remember plus or minus!

X + 2 = 4 —> make (x+2) equal to 4.

X = 2 <— solution.

X + 2 = -4 —> make (x+2) equal to -4.

X = -6 <— solution.

Answer 2

Divide both sides by 3.

(x+2)^2=16

Square root both sides.

x+2= ± 4 (plus OR minus, can be either so we have to include both)

Minus 2 from both sides.

x=-2 ± 4

Add and minus the 4 to -2.

x = -2-4 = -6 and x=-2+4 = 2