Question

PLEASE HELP ITS DUE TODAY! Explain why the equation(x-4)^2-28=8. Then solve the equation to find the solutions. Show your work

Answer 1

Here is your answer:

Let's solve your equation step-by-step.

(x−4)2−28=8

Step 1: Simplify both sides of the equation.

x2−8x−12=8

Step 2: Subtract 8 from both sides.

x2−8x−12−8=8−8

x2−8x−20=0

Step 3: Factor left side of equation.

(x+2)(x−10)=0

Step 4: Set factors equal to 0.

x+2=0 or x−10=0

x=−2 or x=10

Answer:

x=−2 or x=10