Question

Which of the following are solutions to the quadratic equation? Check all that apply.

x2 + x-12 = 0

A. -1
B. 28
C. 2
D. 4
E. 3
F. -4​

Answer 1

E, F

Explanation:

x² + x - 12 = 0

Let’s factor left side.

Find 2 numbers that multiply to get -12 and add to get 1

4 × -3 = -12

4 + 3 = 1

x² - 3x + 4x - 12 = 0

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

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

Set factors equal to 0.

x + 4 = 0

x = -4

x - 3 = 0

x = 3

Answer 2

x= -4 x= 3

Explanation:

x2 + x-12 = 0

Factor

What 2 numbers multiply to -12 and add to 1

4 * -3 = -12

4+3 = 1

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

Using the zero product property

x= -4 x= 3