SOLUTION: Solve the quadratic equation by factoring and applying the zero product principle. (Enter your answers as a comma-separated list.) (x − 5)2 − 16 = 0 {{{(x-5)^2-16=0}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the quadratic equation by factoring and applying the zero product principle. (Enter your answers as a comma-separated list.) (x − 5)2 − 16 = 0 {{{(x-5)^2-16=0}      Log On


   

Question 741500: Solve the quadratic equation by factoring and applying the zero product principle. (Enter your answers as a comma-separated list.)
(x − 5)2 − 16 = 0
%28x-5%29%5E2-16=0
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
it makes more sense to solve by completing the square
(x − 5)2 =16
x-5=4
add 5
x=9
x-5=-4
add 5
x=1

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-10x%2B25-16=0
x%5E2-10x%2B9=0
%28x-9%29%28x-1%29=0

Either x-9=0, and x=9
OR
x-1=0, and x=1