y^2-2y+4=0

Solution for y^2-2y+4=0 equation:

Simplifying
y2 + -2y + 4 = 0

Reorder the terms:
4 + -2y + y2 = 0

Solving
4 + -2y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + -2y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2y + y2 = 0 + -4
-2y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2y + y2 = -4

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

Add '1' to each side of the equation.
-2y + 1 + y2 = -4 + 1

Reorder the terms:
1 + -2y + y2 = -4 + 1

Combine like terms: -4 + 1 = -3
1 + -2y + y2 = -3

Factor a perfect square on the left side:
(y + -1)(y + -1) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.