13y^2-100y+240=0

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Solution for 13y^2-100y+240=0 equation:


Simplifying
13y2 + -100y + 240 = 0

Reorder the terms:
240 + -100y + 13y2 = 0

Solving
240 + -100y + 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'.
18.46153846 + -7.692307692y + y2 = 0

Move the constant term to the right:

Add '-18.46153846' to each side of the equation.
18.46153846 + -7.692307692y + -18.46153846 + y2 = 0 + -18.46153846

Reorder the terms:
18.46153846 + -18.46153846 + -7.692307692y + y2 = 0 + -18.46153846

Combine like terms: 18.46153846 + -18.46153846 = 0.00000000
0.00000000 + -7.692307692y + y2 = 0 + -18.46153846
-7.692307692y + y2 = 0 + -18.46153846

Combine like terms: 0 + -18.46153846 = -18.46153846
-7.692307692y + y2 = -18.46153846

The y term is -7.692307692y.  Take half its coefficient (-3.846153846).
Square it (14.79289941) and add it to both sides.

Add '14.79289941' to each side of the equation.
-7.692307692y + 14.79289941 + y2 = -18.46153846 + 14.79289941

Reorder the terms:
14.79289941 + -7.692307692y + y2 = -18.46153846 + 14.79289941

Combine like terms: -18.46153846 + 14.79289941 = -3.66863905
14.79289941 + -7.692307692y + y2 = -3.66863905

Factor a perfect square on the left side:
(y + -3.846153846)(y + -3.846153846) = -3.66863905

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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