13y^2-4y+9=0

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Solution for 13y^2-4y+9=0 equation: 


Simplifying
13y2 + -4y + 9 = 0

Reorder the terms:
9 + -4y + 13y2 = 0

Solving
9 + -4y + 13y2 = 0

Solving for variable 'y'.

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

Divide each side by '13'.
0.6923076923 + -0.3076923077y + y2 = 0

Move the constant term to the right:

Add '-0.6923076923' to each side of the equation.
0.6923076923 + -0.3076923077y + -0.6923076923 + y2 = 0 + -0.6923076923

Reorder the terms:
0.6923076923 + -0.6923076923 + -0.3076923077y + y2 = 0 + -0.6923076923

Combine like terms: 0.6923076923 + -0.6923076923 = 0.0000000000
0.0000000000 + -0.3076923077y + y2 = 0 + -0.6923076923
-0.3076923077y + y2 = 0 + -0.6923076923

Combine like terms: 0 + -0.6923076923 = -0.6923076923
-0.3076923077y + y2 = -0.6923076923

The y term is -0.3076923077y.  Take half its coefficient (-0.1538461539).
Square it (0.02366863907) and add it to both sides.

Add '0.02366863907' to each side of the equation.
-0.3076923077y + 0.02366863907 + y2 = -0.6923076923 + 0.02366863907

Reorder the terms:
0.02366863907 + -0.3076923077y + y2 = -0.6923076923 + 0.02366863907

Combine like terms: -0.6923076923 + 0.02366863907 = -0.66863905323
0.02366863907 + -0.3076923077y + y2 = -0.66863905323

Factor a perfect square on the left side:
(y + -0.1538461539)(y + -0.1538461539) = -0.66863905323

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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