Question

What are the solutions to x2 + 4x - 12 = 0?
x= -2 or x = 6
x= 3 or x= -4
x= 2 or x = -6
x= 4 or x = -3

Answer 1

Answer:

x= -6         x=2

Step-by-step explanation:

x^2 + 4x - 12 = 0

Factor,  what 2 terms multiply to -12 and add to 4

6* -2 = -12

6+-2 = 4

( x+6) (x-2) =0

Using the zero product property

x+6 =0    x-2=0

x= -6         x=2

Answer 2

Answer:

option C will be the correct answer

x= 2 or x = -6

Step-by-step explanation:

$x {}^{2} + 4x - 12 = 0? \\ {x}^{2} + 6x - 2x - 12 = 0 \\ x(x + 6) - 2(x + 6) = 0 \\ (x - 2)(x + 6) = 0 \\ x - 2 = 0 \: \: \: \: or \: \: \: \: x + 6 = 0 \\ x = 2 \: \: \: \: or \: \: \: \: x = - 6$