y^2-y+5=0

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Solution for y^2-y+5=0 equation:


Simplifying
y2 + -1y + 5 = 0

Reorder the terms:
5 + -1y + y2 = 0

Solving
5 + -1y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -1y + -5 + y2 = 0 + -5

Reorder the terms:
5 + -5 + -1y + y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y + y2 = 0 + -5
-1y + y2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1y + y2 = -5

The y term is -1y.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1y + 0.25 + y2 = -5 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -5 + 0.25

Combine like terms: -5 + 0.25 = -4.75
0.25 + -1y + y2 = -4.75

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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