u^2-2u+3=0

Solution for u^2-2u+3=0 equation:

Simplifying
u2 + -2u + 3 = 0

Reorder the terms:
3 + -2u + u2 = 0

Solving
3 + -2u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2u + -3 + u2 = 0 + -3

Reorder the terms:
3 + -3 + -2u + u2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2u + u2 = 0 + -3
-2u + u2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2u + u2 = -3

The u term is -2u.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2u + 1 + u2 = -3 + 1

Reorder the terms:
1 + -2u + u2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2u + u2 = -2

Factor a perfect square on the left side:
(u + -1)(u + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.