Take the equation and put it into ax² + bx + c = 0.
3x² + 4x - 6 = 0
a = 3
b = 4
c = -6
The quadratic formula is :
x = -b ± √b² - 4ac / 2a
Substitute the values.
x = -4 ± √4² - 4(3)(-6) / 2(3)
x = -4 ± √16 + 72 / 6
x = -4 ± √88 / 6
x = -4 ± 2√22 / 6
Simplify the equation by factoring out the 2.
x = -2 ± √22 / 3
Solutions :
x = -2 + √22 / 3
x = -2 - √22 / 3