SOLUTION: Given that the roots of a quadratic {{{y=x^2+ax+b}}} are -3 and 2. Find the values of a and b.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Given that the roots of a quadratic {{{y=x^2+ax+b}}} are -3 and 2. Find the values of a and b.      Log On


   

Question 770747: Given that the roots of a quadratic y=x%5E2%2Bax%2Bb are -3 and 2. Find the values of a and b.
Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%5E2%2Bax%2Bb
x%5E2-%28Sum+of+roots%29x%2B%28Product+of+roots%29=0
x%5E2-%28-3%2B2%29x%2B%28-3%2A2%29=0
x%5E2-%28-1%29x%2B%28-6%29=0
x%5E2%2Bx-6=0 ... Compare this equation with y=x%5E2%2Bax%2Bb
x%5E2%2Bax%2Bb=y
x%5E2%2Bx-6=0
Therefore, a=1 and b=-6.