SOLUTION: Solve by completing the square. Other methods will receive no credit. x2 + 6x + 2 = 0

Algebra ->  Rational-functions -> SOLUTION: Solve by completing the square. Other methods will receive no credit. x2 + 6x + 2 = 0       Log On


   

Question 47449: Solve by completing the square. Other methods will receive no credit.
x2 + 6x + 2 = 0
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by completing the square.
x%5E2%2B6x%2B2+=0 First, subtract 2 from both sides of the equation.
x%5E2%2B6x+=+-2 Complete the square on the left side by adding the square of half the x-coefficient %286%2F2%29%5E2+=+9 to both sides of the equation.
x%5E2%2B6x%2B9+=+7 Now factor the left side.
%28x%2B3%29%28x%2B3%29+=+7
%28x%2B3%29%5E2+=+7 Take the square root of both sides.
x%2B3+=+plus+or+-sqrt%287%29 Subtract 3 from both sides.
x+=+-3%2B-sqrt%287%29