SOLUTION: Find the quadratic equation whose roots are -3/2 and 4.

Algebra ->  Rational-functions -> SOLUTION: Find the quadratic equation whose roots are -3/2 and 4.       Log On


   

Question 1033862: Find the quadratic equation whose roots are -3/2 and 4.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If it has those roots, then we have factors of
(x + 3/2)(x - 4) = 0
Now FOIL them out and get
x^2 - 4x + (3/2)x - 6 = 0
x^2 - (5/2)x - 6 = 0
and if your teacher wants integer coefficients, we multiply everything by two and get
2x%5E2+-+5x+-+12+=+0