y^2-9y+81=0

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Solution for y^2-9y+81=0 equation:


Simplifying
y2 + -9y + 81 = 0

Reorder the terms:
81 + -9y + y2 = 0

Solving
81 + -9y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-81' to each side of the equation.
81 + -9y + -81 + y2 = 0 + -81

Reorder the terms:
81 + -81 + -9y + y2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -9y + y2 = 0 + -81
-9y + y2 = 0 + -81

Combine like terms: 0 + -81 = -81
-9y + y2 = -81

The y term is -9y.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9y + 20.25 + y2 = -81 + 20.25

Reorder the terms:
20.25 + -9y + y2 = -81 + 20.25

Combine like terms: -81 + 20.25 = -60.75
20.25 + -9y + y2 = -60.75

Factor a perfect square on the left side:
(y + -4.5)(y + -4.5) = -60.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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