Answer:
X=-2
Step-by-step explanation:
Solution by completing the square for:
x2−2x−8=0
Keep x terms on the left and move
the constant to the right side
by adding it on both sides
x2−2x=8
Take half of the x term and square it
[−2⋅12]2=1
then add the result to both sides
x2−2x+1=8+1
Rewrite the perfect square on the left
(x−1)2=8+1
and combine terms on the right
(x−1)2=9
Take the square root of both sides
x−1=±9–√
Cannot Simplify the Radical term (1):
Isolate the x on the left side and
solve for x (1)
x=1±3
therefore (2)
x=1+3
x=1−3
which becomes
x=4
x=−2
