Question

In simplest form by completing the squar x²-4x-12=0

Answer 1

x=6, x=-2

Explanation:

In order to complete the square of this problem, we add 4, and also subtract 4, because 4 wasn't there, so we have to take away what was added:

x^2-4x+4-4-12=0

x^2-4x+4=(x-2)^2

(x-2)^2-16=0

(x-2)^2=16

`√((x-2)^2)=√(16)`

x-2=±4

x-2=4

x=6

x-2=-4

x=-2

Thus, x=6 and x=-2