Question

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? Check all that apply

A. x+4=0
B. 2x+3=0
C. 2x-3=x+4
D. x-4=0
E. 2x-3=0

Answer 1

A and B

Explanation:

given 2x² + 5x - 12 in factored form , that is

(2x - 3)(x + 4)

then to find the roots equate the factored form to zero, that is

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

equate each factor to zero and solve for x

x + 4 = 0 ( subtract 4 from both sides ) ← A

x = - 4

2x - 3 = 0 ( add 3 to both sides ) ← B

2x = 3 ( divide both sides by 2 )

x =
`(3)/(2)`

so the roots are x = - 4 , x =
`(3)/(2)`