Question

Solve the equation by completing the square
X^2 -2x=-3

Answer 1

x^2 - 2x = -3
Add 1 to both sides:
x^2 - 2x + 1 = -3 + 1
Factor:
(x - 1)^2 = -3 + 1
Calculate:
(x - 1)^2 = -2
Square root both sides:
x - 1 = ±√(2)i
Separate:
x -1 = √(2)i
x - 1 = -√(2)i
Solve for x:
x= 1 + √(2)i
x = 1 - √(2)i

Hope this helped