How do you solve the quadratic 9y^2+6y-8=0 using any method?

1 Answer
Feb 13, 2017

y=2/3 or y=-4/3

Explanation:

9y^2+6y-8=0

:.(3y-2)(3y+4)

:.3y-2=0 or 3y+4=0

:.3y=2 or 3y=-4

:.y=3/2 or y=-4/3

substitute y = 3/2

:.9(2/3)^2+6(2/3)-8=0

:.9(4/9)+12/3-8=0

:.4+4-8=0

:.8-8=0

substitute y =-4/3

:.9(-4/3)^2+6(-4/3)-8=0

:9(16/9)-24/3-8=0

:.16-8-8=0

:.8-8=0