Answer:
x = 2, x = -3
Step-by-step explanation:
We are given the following quadratic equation and we are to solve it for x:
[tex] x ^ 2 + x - 6 = 0 [/tex]
We need to find such factors of -6 that when added give a result of 1 and when multiplied, give a product of -6.
[tex] x ^ 2 + x - 6 = 0 [/tex]
[tex] x ^ 2 - 2x + 3x - 6 = 0 [/tex]
[tex] x ( x - 2 ) + 3 ( x - 2 ) = 0 [/tex]
[tex](x-2) = 0, (x+3)=0[/tex]
x = 2, x = -3
