y^2-4y+6=0

Solution for y^2-4y+6=0 equation:

Simplifying
y2 + -4y + 6 = 0

Reorder the terms:
6 + -4y + y2 = 0

Solving
6 + -4y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4y + -6 + y2 = 0 + -6

Reorder the terms:
6 + -6 + -4y + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4y + y2 = 0 + -6
-4y + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4y + y2 = -6

The y term is -4y.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4y + 4 + y2 = -6 + 4

Reorder the terms:
4 + -4y + y2 = -6 + 4

Combine like terms: -6 + 4 = -2
4 + -4y + y2 = -2

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.