Question 602929
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 = 1{{{3/4}}}
x = {{{7/4}}}
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