Question

Solve the following quadratic equation: (x-16)^2= 256

Answer 1

Simplifying
(x + -16) * 2 = 256

Reorder the terms:
(-16 + x) * 2 = 256

Reorder the terms for easier multiplication:
2(-16 + x) = 256
(-16 * 2 + x * 2) = 256
(-32 + 2x) = 256

Solving
-32 + 2x = 256

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '32' to each side of the equation.
-32 + 32 + 2x = 256 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = 256 + 32
2x = 256 + 32

Combine like terms: 256 + 32 = 288
2x = 288

Divide each side by '2'.
x = 144

Simplifying
x = 144

Answer 2

x = 32 or x = 0

Explanation:

(x - 16)² = 256

Expand and simplify the equation.

x² − 32x + 256 = 256

Subtract 256 from either side of the equation.

x² − 32x + 256 − 256 = 256 − 256

Simplify the equation.

x² - 32x = 0

Factor and set the factors to 0.

x = 0 or x = 32

The answer is x = 0 or x = 32.

I have done this test on Plato/Edmentum. I can promise this answer is correct, I've gotten a 5/5.

Good luck ^^