SOLUTION: Find a quadratic equation with the given roots r1 and r2. Write the answer in the form ax2 + bx + c = 0, where a, b, and c are integers and a > 0. r1 = 4 and r2 = 11

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find a quadratic equation with the given roots r1 and r2. Write the answer in the form ax2 + bx + c = 0, where a, b, and c are integers and a > 0. r1 = 4 and r2 = 11      Log On


   

Question 491547: Find a quadratic equation with the given roots r1 and r2. Write the answer in the form
ax2 + bx + c = 0,
where a, b, and c are integers and a > 0.
r1 = 4 and r2 = 11
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Since the roots are r1=4 and r2=11 the quadratic equation will be:
ax%5E2%2Bbx%2Bc=a%28x-r1%29%28x-r2%29=0, assuming a=1, substituting the roots we get:
%28x-4%29%28x-11%29=x%5E2-15x%2B44=0
Answer:An quadratic equation with the given roots 4 and 11 is x%5E2-15x%2B44=0.