9y^2-22y+85=0

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Solution for 9y^2-22y+85=0 equation:


Simplifying
9y2 + -22y + 85 = 0

Reorder the terms:
85 + -22y + 9y2 = 0

Solving
85 + -22y + 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'.
9.444444444 + -2.444444444y + y2 = 0

Move the constant term to the right:

Add '-9.444444444' to each side of the equation.
9.444444444 + -2.444444444y + -9.444444444 + y2 = 0 + -9.444444444

Reorder the terms:
9.444444444 + -9.444444444 + -2.444444444y + y2 = 0 + -9.444444444

Combine like terms: 9.444444444 + -9.444444444 = 0.000000000
0.000000000 + -2.444444444y + y2 = 0 + -9.444444444
-2.444444444y + y2 = 0 + -9.444444444

Combine like terms: 0 + -9.444444444 = -9.444444444
-2.444444444y + y2 = -9.444444444

The y term is -2.444444444y.  Take half its coefficient (-1.222222222).
Square it (1.493827160) and add it to both sides.

Add '1.493827160' to each side of the equation.
-2.444444444y + 1.493827160 + y2 = -9.444444444 + 1.493827160

Reorder the terms:
1.493827160 + -2.444444444y + y2 = -9.444444444 + 1.493827160

Combine like terms: -9.444444444 + 1.493827160 = -7.950617284
1.493827160 + -2.444444444y + y2 = -7.950617284

Factor a perfect square on the left side:
(y + -1.222222222)(y + -1.222222222) = -7.950617284

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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