SOLUTION: Please help me with this one, I don't understand SQRT(x^2+3x+6)=4

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me with this one, I don't understand SQRT(x^2+3x+6)=4      Log On


   

Question 23304: Please help me with this one, I don't understand
SQRT(x^2+3x+6)=4
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
sqrt%28x%5E2%2B3x%2B6%29+=+4 Square both sides. Recall: %28sqrt%28x%29%29%5E2+=+x
x%5E2%2B3x%2B6+=+16 Subtract 16 from both sides of the equation.
x%5E2%2B3x-10+=+0 Solve by factoring.
%28x-2%29%28x%2B5%29+=+0 Apply the zero product principle.
x-2+=+0 and/or x%2B5+=+0
The roots are:
x = 2
x = -5