3y^2-8y+11=0

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Solution for 3y^2-8y+11=0 equation: 


Simplifying
3y2 + -8y + 11 = 0

Reorder the terms:
11 + -8y + 3y2 = 0

Solving
11 + -8y + 3y2 = 0

Solving for variable 'y'.

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

Divide each side by '3'.
3.666666667 + -2.666666667y + y2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -2.666666667y + -3.666666667 + y2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -2.666666667y + y2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -2.666666667y + y2 = 0 + -3.666666667
-2.666666667y + y2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-2.666666667y + y2 = -3.666666667

The y term is -2.666666667y.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667y + 1.777777780 + y2 = -3.666666667 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667y + y2 = -3.666666667 + 1.777777780

Combine like terms: -3.666666667 + 1.777777780 = -1.888888887
1.777777780 + -2.666666667y + y2 = -1.888888887

Factor a perfect square on the left side:
(y + -1.333333334)(y + -1.333333334) = -1.888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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