SOLUTION: Write a quadratic equation with -3/4 and 4 as its roots. write the equation in form ax^2+bx+c=0, where a, b, and c are integers. Thank you so much for all of your help!!!!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write a quadratic equation with -3/4 and 4 as its roots. write the equation in form ax^2+bx+c=0, where a, b, and c are integers. Thank you so much for all of your help!!!!      Log On


   

Question 346051: Write a quadratic equation with -3/4 and 4 as its roots. write the equation in form ax^2+bx+c=0, where a, b, and c are integers.
Thank you so much for all of your help!!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The simplest quadratic equation with these roots is,
%28x%2B3%2F4%29%28x-4%29=0
Multiply both sides by 4.
4%28x%2B3%2F4%29%28x-4%29=0
%284x%2B3%29%28x-4%29=0
Use the FOIL method to expand,
4x%5E2-16x%2B3x-12=0
highlight%284x%5E2-13x-12=0%29