y^2-9y+30=0

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Solution for y^2-9y+30=0 equation:


Simplifying
y2 + -9y + 30 = 0

Reorder the terms:
30 + -9y + y2 = 0

Solving
30 + -9y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -9y + -30 + y2 = 0 + -30

Reorder the terms:
30 + -30 + -9y + y2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -9y + y2 = 0 + -30
-9y + y2 = 0 + -30

Combine like terms: 0 + -30 = -30
-9y + y2 = -30

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 = -30 + 20.25

Reorder the terms:
20.25 + -9y + y2 = -30 + 20.25

Combine like terms: -30 + 20.25 = -9.75
20.25 + -9y + y2 = -9.75

Factor a perfect square on the left side:
(y + -4.5)(y + -4.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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