y^2-4y+8=0

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Solution for y^2-4y+8=0 equation:


Simplifying
y2 + -4y + 8 = 0

Reorder the terms:
8 + -4y + y2 = 0

Solving
8 + -4y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -4y + -8 + y2 = 0 + -8

Reorder the terms:
8 + -8 + -4y + y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -4y + y2 = 0 + -8
-4y + y2 = 0 + -8

Combine like terms: 0 + -8 = -8
-4y + y2 = -8

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 = -8 + 4

Reorder the terms:
4 + -4y + y2 = -8 + 4

Combine like terms: -8 + 4 = -4
4 + -4y + y2 = -4

Factor a perfect square on the left side:
(y + -2)(y + -2) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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