SOLUTION: I need help with solving this quadratic equation by graphing: x^2+5x+6=0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I need help with solving this quadratic equation by graphing: x^2+5x+6=0      Log On


   

Question 1021047: I need help with solving this quadratic equation by graphing: x^2+5x+6=0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%5E2%2B5x%2B6=0, which shows the quadratic expression factorable, and the vertex will occur in the exact middle of the two real roots. Also recognize the graph shows a parabola with vertex as a minimum, so parabola opens upward.

x%5E2%2B5x%2B6=%28x%2B2%29%28x%2B3%29

graph%28300%2C300%2C-8%2C6%2C-6%2C8%2Cx%5E2%2B5x%2B6%29