SOLUTION: please help I am missing stept to this problem and need to understand it for a test Solve for x by completing the square: x^2 + 6x = 2 Eric

Algebra ->  Finance -> SOLUTION: please help I am missing stept to this problem and need to understand it for a test Solve for x by completing the square: x^2 + 6x = 2 Eric      Log On


   

Question 288141: please help I am missing stept to this problem and need to understand it for a test



Solve for x by completing the square: x^2 + 6x = 2

Eric
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x by completing the square:
x%5E2%2B6x+=+2 Complete the square in x on the left side by adding the square of half the x-coefficient to both sides of the equation. Add %286%2F2%29%5E2+=+9.
x%5E2%2B6x%2B9+=+2%2B9 Factor the left side and simplify the right side.
%28x%2B3%29%5E2+=+11 Take the square root of both sides.
x%2B3+=+sqrt%2811%29 or x%2B3+=+-sqrt%2811%29 Subtract 3 from both sides in each solution.
x+=+-3%2Bsqrt%2811%29 or x+=+-3-sqrt%2811%29