SOLUTION: Write a quadratic equation with integer coefficients and roots -2/3 and 1 ¾ Please show me the steps. A. 14x^2+13x-12=0 B.14x^2-13x-12=0 C. 12x^2-13x-14 D. 12x^2+13x-14 E.non

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write a quadratic equation with integer coefficients and roots -2/3 and 1 ¾ Please show me the steps. A. 14x^2+13x-12=0 B.14x^2-13x-12=0 C. 12x^2-13x-14 D. 12x^2+13x-14 E.non      Log On


   



Question 602929: Write a quadratic equation with integer coefficients and roots -2/3 and 1 ¾
Please show me the steps.
A. 14x^2+13x-12=0 B.14x^2-13x-12=0 C. 12x^2-13x-14 D. 12x^2+13x-14
E.none of these.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write a quadratic equation with integer coefficients and roots -2/3 and 1 ¾
:
Create two factors from the given roots
:
x = -2/3
Multiply both sides by 3
3x = -2
(3x + 2) = 0
and
x = 13%2F4
x = 7%2F4
multiply both sides by 4
4x = 7
(4x - 7) = 0
:
FOIL (3x+2)(4x-7)
12x^2 - 21x + 8x - 14
combine like terms
y = 12x^2 - 13x - 14; is the quadratic equation with the given roots