Question

What are the solving steps for 1/4(x+5)^2-1=3

Answer 1

x = -9 x = 1

Explanation:

1/4(x+5)^2-1=3

Add 1 to each side

1/4(x+5)^2-1+1=3+1

1/4(x+5)^2=4

Multiply each side by 4

4*1/4(x+5)^2=4*4

(x+5)^2=16

Take the square root of each side

sqrt((x+5)^2)=±sqrt(16)

x+5 = ±4

Subtract 5 from each side

x+5-5 = -5±4

x = -5±4

x = -5-4 x = -5+4

x = -9 x = 1