SOLUTION: 2√x=x−8 I need to figure out how to turn this into a (x^2 + 2x + 1) type of problem so that I can use the quadratic equation to further factor it.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 2√x=x−8 I need to figure out how to turn this into a (x^2 + 2x + 1) type of problem so that I can use the quadratic equation to further factor it.      Log On


   

Question 983540: 2√x=x−8
I need to figure out how to turn this into a (x^2 + 2x + 1) type of problem so that I can use the quadratic equation to further factor it.
Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!

2sqrt%28x%29=x-8
x-8=2sqrt%28x%29
highlight_green%28x-2sqrt%28x%29-8=0%29----this is in quadratic form. It is also solvable by factoring.

%28sqrt%28x%29%2B2%29%28sqrt%28x%29-4%29=0

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt%28x%29=%28x-8%29
square both sides
4x=%28x-8%29%5E2
4x=x%5E2-16x%2B64

x%5E2-20x%2B64=0

x%5E2-16x-4x%2B64=0

x%28x-16%29-4%28x-16%29=0
(x-16)(x-4)=0