SOLUTION: Having a hard time doing these quadratic equation someone help me out please. Solve the quadratic equation (x + 4)^2 - 9 = 0 by taking square roots. if there are no solutions, e

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Having a hard time doing these quadratic equation someone help me out please. Solve the quadratic equation (x + 4)^2 - 9 = 0 by taking square roots. if there are no solutions, e      Log On


   

Question 622701: Having a hard time doing these quadratic equation someone help me out please.
Solve the quadratic equation (x + 4)^2 - 9 = 0 by taking square roots. if there are no solutions, enter NONE.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
%28x+%2B+4%29%5E2+-+9+=+0 --> %28x+%2B+4%29%5E2+=+9 (adding 9 to both sides of the equal sign)
%28x+%2B+4%29%5E2+=+9 --> abs%28x%2B4%29=sqrt%289%29=3 (taking square root of both sides)
abs%28x%2B4%29=3 --> x%2B4=3 or -%28x%2B4%29=3 <--> x%2B4=-3
x%2B4=3 --> x=-4%2B3=-1
x%2B4=-3 --> x=-4-3=-7
The solutions are highlight%28x=-1%29 and highlight%28x=-7%29