SOLUTION: Make a graph to estimate the solutions of the equation. Check the solutions algebraically. Show all work. x^2+12x+20=0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Make a graph to estimate the solutions of the equation. Check the solutions algebraically. Show all work. x^2+12x+20=0      Log On


   

Question 437258: Make a graph to estimate the solutions of the equation. Check the solutions algebraically. Show all work.
x^2+12x+20=0
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
The graph of this function is a parabola, which opens up because a=1>0.
From its graph we see that the curve intersect the x-axis at (-10, 0) and (-2, 0).
Check: x%5E2%2B12x%2B20=%28x%2B10%29%28x%2B2%29=0, for x=-10 and x=-2.
graph%28600%2C+600%2C+-15%2C+5%2C+-20%2C+25%2C+x%5E2%2B12x%2B20%29