Answer:
[tex]x^2 + 4x - 12 = 0[/tex] is true for x = -6 and x = 2.
Step-by-step explanation:
Given:
x = -6 and x = 2
The above are the solutions of an equation.
So the factors are (x +6) and (x -2)
Now we have to find the equation by multiplying these two factors.
(x + 6) (x -2) = 0
x(x -2) + 6(x - 2) = 0
Let's use the distributive property and simplify.
x^2 - 2x + 6x - 12 =0
Simplifying the like terms, we get
x^2 + 4x - 12 =0.
The equation [tex]x^2 + 4x -12 =0[/tex]true for x = -6 and x = 2.
