How do you solve 2x^2+3x-4=0 using the quadratic formula?

1 Answer
Dec 7, 2016

x=(-3+sqrt(41))/4, (-3-sqrt(41))/4

Explanation:

2x^2+3x-4=0 is a quadratic equation in the form ax^2+bx+c, where a=2, b=3, and c=-4.

Quadratic formula

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

Plug the known values into the equation and solve.

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

x=(-3+-sqrt(9+32))/4

x=(-3+-sqrt(41))/4

x=(-3+sqrt(41))/4, (-3-sqrt(41))/4