X² - 2x - 8=0

How do I complete the square

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