y^2-4y+10=0

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Solution for y^2-4y+10=0 equation:


Simplifying
y2 + -4y + 10 = 0

Reorder the terms:
10 + -4y + y2 = 0

Solving
10 + -4y + 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 + -4y + -10 + y2 = 0 + -10

Reorder the terms:
10 + -10 + -4y + y2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -4y + y2 = 0 + -10
-4y + y2 = 0 + -10

Combine like terms: 0 + -10 = -10
-4y + y2 = -10

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 = -10 + 4

Reorder the terms:
4 + -4y + y2 = -10 + 4

Combine like terms: -10 + 4 = -6
4 + -4y + y2 = -6

Factor a perfect square on the left side:
(y + -2)(y + -2) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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