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

Question

Mathematics

Donovan Nguyen

13 February, 19:32

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

+2

Answers (1)

Know the Answer?

Jimmy Gardner · Answer 1

x = - 9 x = 1

Step-by-step 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