Solve This Quadratic Equation?

Question

2x^2 + 5x - 12 = 0

Answer 1

2x² + 5x - 12 = 0

2x² + 8x - 3x -12 = 0

Take out common term 2x and -3 in the quadratic equation

2x(x + 4) -3(x + 4) = 0

Take out common term x + 4 in the quadratic equation 2x(x + 4) -3(x + 4) = 0

(x + 4)(2x - 3) = 0

Quadratic equations have two roots

First root :

x + 4 = 0

Subtract 4 from each side

x + 4 - 4 = 0 - 4

x + 0 = - 4

x = - 4

Second root :

2x - 3 = 0

Add 3 to each side

2x -3 + 3 = 3

2x + 0 = 3

2x = 3

Divide each side by 2

2x / 2 = 3 / 2

Simplify

x = 3 / 2.

The roots of the quadratic equation : -4 , 3 / 2.