SOLUTION: Some one help me with this quadratic question. Solve the quadratic equation (x + 4)^2 - 9 = 0 by taking square roots.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Some one help me with this quadratic question. Solve the quadratic equation (x + 4)^2 - 9 = 0 by taking square roots.       Log On


   

Question 622744: Some one help me with this quadratic question.

Solve the quadratic equation (x + 4)^2 - 9 = 0 by taking square roots.

Found 3 solutions by ewatrrr, Earlsdon, solver91311:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

(x + 4)^2 - 9 = 0   || Isolate the Squared Term

(x + 4)^2 = 9       ||  Taking the Square Root of both sides of the EQ

 (x + 4)  = ± 3

   x = -4 ± 3

   x = -7  or x = -1   (-7,0) and (-1,0) the x-intercepts of this Parabola

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
%28x%2B4%29%5E2-9+=+0 Add 9 to both sides.
%28x%2B4%29%5E2+=+9 Take the square root of both sides.
x%2B4+=+3 or x%2B4+=+-3 Subtract 4 from both sides in each solution.
x+=+-1 or x+=+-7

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Add 9 to both sides.

Take the square root of both sides (don't forget to consider both the positive and negative square roots).

Separate into two equations, one with the positive root and one with the negative root.

Add -4 to both sides of each of the separated equations to obtain one of the two roots from each.

Check both roots in the original equation.

John

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