9y^2-2y+5=0

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Solution for 9y^2-2y+5=0 equation:


Simplifying
9y2 + -2y + 5 = 0

Reorder the terms:
5 + -2y + 9y2 = 0

Solving
5 + -2y + 9y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
0.5555555556 + -0.2222222222y + y2 = 0

Move the constant term to the right:

Add '-0.5555555556' to each side of the equation.
0.5555555556 + -0.2222222222y + -0.5555555556 + y2 = 0 + -0.5555555556

Reorder the terms:
0.5555555556 + -0.5555555556 + -0.2222222222y + y2 = 0 + -0.5555555556

Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000
0.0000000000 + -0.2222222222y + y2 = 0 + -0.5555555556
-0.2222222222y + y2 = 0 + -0.5555555556

Combine like terms: 0 + -0.5555555556 = -0.5555555556
-0.2222222222y + y2 = -0.5555555556

The y term is -0.2222222222y.  Take half its coefficient (-0.1111111111).
Square it (0.01234567901) and add it to both sides.

Add '0.01234567901' to each side of the equation.
-0.2222222222y + 0.01234567901 + y2 = -0.5555555556 + 0.01234567901

Reorder the terms:
0.01234567901 + -0.2222222222y + y2 = -0.5555555556 + 0.01234567901

Combine like terms: -0.5555555556 + 0.01234567901 = -0.54320987659
0.01234567901 + -0.2222222222y + y2 = -0.54320987659

Factor a perfect square on the left side:
(y + -0.1111111111)(y + -0.1111111111) = -0.54320987659

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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