How do you solve 2x^2+3x-3=0 using the quadratic formula?

1 Answer
Jul 15, 2015

x=(-3+sqrt 33)/4,(-3-sqrt 33)/4

Explanation:

2x^2+3x-3=0 is a quadratic equation in the form of ax^2+bx+c, where a=2, b=3, and c=-3.

Quadratic Formula

x=(-b+-sqrt(b^2-4ac))/(2a)

Substitute the given values into the formula.

x=(-3+-sqrt(-3^2-4*2*-3))/(2*2) =

x=(-3+-sqrt(9+24))/4 =

x=(-3+-sqrt33)/4

Solve for x.

x=(-3+sqrt33)/4

x=(-3-sqrt33)/4