Question

What are the solutions to the quadratic equation 4x^2-9x-9=0?

Answer 1

4x^2-9x-9=0
4x^2-(6-6)x-9=0
4x^2-6x+6x-9=0
2x(2x-3)+3(2x-3)=0
2x+3=0,2x-3=0
or, x=-3/2,3/2

Answer 2

Answer:

$x=\frac{-3}{4},x=3$

Step-by-step explanation:

Given : $4x^2-9x-9=0$

To Find: What are the solutions to the quadratic equation

Solution:

$4x^2-9x-9=0$

$4x^2-12x+3x-9=0$

$4x(x-3)+3(x-3)=0$

$(4x+3)(x-3)=0$

$4x+3=0,x-3=0$

$x=\frac{-3}{4},x=3$

Hence the solution to the quadratic equation is $x=\frac{-3}{4},x=3$