Question

Solve 2x2 – 3x = 12 using the quadratic formula.

Answer 1

Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a

2x^2 - 3x = 12

2x^2 - 3x - 12 = 0

a = 2

b = -3

c = -12

(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)

3 +/- sqrt( 9 + 96 ) / 4

3 +/- sqrt(105) / 4

Answers: $\frac{3 + \sqrt{105} }{4}$, $\frac{3 - \sqrt{105} }{4}$

Hope this helps!