If 2x^2+5x-12=(2x-3)(x+4), which equation(s) should be solved to find the roots of 2x^2+5x-12=0

see explanation

Step-by-step explanation:

Given 2x² + 5x - 12 in factored form, then to find the roots equate to zero, that is

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

Equate each factor to zero and solve for x

2x - 3 = 0 ⇒ 2x = 3 ⇒ x =

x + 4 = 0 ⇒ x = - 4

Roots are x = - 4 and x =

The equation (2x-3)(x+4)=0 should be solved to find the roots of 2x²+5x-12=0.

Step-by-step explanation:

The given equation is

             .... (1)

We need to find an equation that should be solved to find the roots of the equation

To find the roots of the equation we need to write the equation in factor form.

From equation (1) it is clear that the factor form of 2x²+5x-12 is (2x-3)(x+4). So using (1), we get

Using zero product property, we get

Therefore the equation (2x-3)(x+4)=0 should be solved to find the roots of 2x²+5x-12=0.