SOLUTION: If the roots of ax^2 + bx + c are 3/2 and -5/4 and a, b, c are whole numbers, what are the valies of a, b, and c?

Question 1089718: If the roots of ax^2 + bx + c are 3/2 and -5/4 and a, b, c are whole numbers, what are the valies of a, b, and c?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

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check:
use quadratic formula to verify

Answer by ikleyn(52779) (Show Source): You can put this solution on YOUR website!
.

I agree with the solution by @josmiceli, and only want to add that together with the triple ((a,b,c) = (8,-2,-15) any other triple which is multiple to this one, is also the solution. For example, triples (a,b,c) = (16,-4,-30) and (-8,2,15) also are the solutions.

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