Question

X² – 2x – 8=0 How do I complete the square

Answer 1

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