y^2-2y+10=0

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Solution for y^2-2y+10=0 equation:


Simplifying
y2 + -2y + 10 = 0

Reorder the terms:
10 + -2y + y2 = 0

Solving
10 + -2y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -2y + -10 + y2 = 0 + -10

Reorder the terms:
10 + -10 + -2y + y2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2y + y2 = 0 + -10
-2y + y2 = 0 + -10

Combine like terms: 0 + -10 = -10
-2y + y2 = -10

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 = -10 + 1

Reorder the terms:
1 + -2y + y2 = -10 + 1

Combine like terms: -10 + 1 = -9
1 + -2y + y2 = -9

Factor a perfect square on the left side:
(y + -1)(y + -1) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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