SOLUTION: Write the 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. Thanks

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write the 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. Thanks      Log On


   

Question 43483: Write the 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.
Thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write the 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.
k(x+3/4)(x-4)=0
(k/4)(4x+3)(x-4)=0
(k/4)(4x^2-13x-12)=0
Let k=4 then
(1/4)(16x^2-52x-48)=0
f(x)=4x^2-13x-12
Cheers,
Stan H.