SOLUTION: Find a quadratic equation in the form ax^2 + bx + c = 0, where a, b and c are integers whose roots are 2/3 and -3/4.

Algebra ->  Equations -> SOLUTION: Find a quadratic equation in the form ax^2 + bx + c = 0, where a, b and c are integers whose roots are 2/3 and -3/4.      Log On


   

Question 1120513: Find a quadratic equation in the form ax^2 + bx + c = 0, where a, b and c are integers whose roots are 2/3 and -3/4.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find a quadratic equation in the form ax^2 + bx + c = 0, where a, b and c are integers whose roots are 2/3 and -3/4.
Two factors derived from these roots
x = 2/3
3x = 2
3x - 2 = 0
and
x = -3/4
4x = -3
4x + 3 = 0
therefore
(3x - 2)(4x + 3)
FOIL
12x^2 + 9x - 8x - 6
y = 12x^2 + x - 6 is the quadratic equation