-y^2+6y-11=0

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Solution for -y^2+6y-11=0 equation:


Simplifying
-1y2 + 6y + -11 = 0

Reorder the terms:
-11 + 6y + -1y2 = 0

Solving
-11 + 6y + -1y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
11 + -6y + y2 = 0

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -6y + -11 + y2 = 0 + -11

Reorder the terms:
11 + -11 + -6y + y2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6y + y2 = 0 + -11
-6y + y2 = 0 + -11

Combine like terms: 0 + -11 = -11
-6y + y2 = -11

The y term is -6y.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6y + 9 + y2 = -11 + 9

Reorder the terms:
9 + -6y + y2 = -11 + 9

Combine like terms: -11 + 9 = -2
9 + -6y + y2 = -2

Factor a perfect square on the left side:
(y + -3)(y + -3) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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