SOLUTION: 11. Write a quadratic equation with roots of 2/3 and -4/5 in the form ax^2+bx+c=0, where a, b, and c are integers. Thanks

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 11. Write a quadratic equation with roots of 2/3 and -4/5 in the form ax^2+bx+c=0, where a, b, and c are integers. Thanks      Log On


   

Question 197850: 11. Write a quadratic equation with roots of 2/3 and -4/5 in the form ax^2+bx+c=0, where a, b, and c are integers.
Thanks
Found 2 solutions by Mathtut, solver91311:
Answer by Mathtut(3670) About Me  (Show Source):
Answer by solver91311(24713) About Me  (Show Source):
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If the roots of a quadratic equation are and , then the factors of the quadratic polynomial must be:

, therefore:

You have:

and

so you can say:



Expand the binomials using FOIL and you have it.

John