Question

Find the roots of the quadratic equation by using the quadratic formula in the following:

–3x² + 5x + 12 = 0

Answer 1

The quadratic formula for finding the roots of quadratic equation

ax² + bx + c = 0, a ≠ 0 is given by,

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

∴ x = `(-5 +- sqrt(5^2 - 4(-3)(12)))/(2(-3))`

= `(-5 +- sqrt(169))/(-6)`

= `(5 +- 13)/6`

= `3, -4/3`