31y^2-3.709y+3.48387=0

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Solution for 31y^2-3.709y+3.48387=0 equation:


Simplifying
31y2 + -3.709y + 3.48387 = 0

Reorder the terms:
3.48387 + -3.709y + 31y2 = 0

Solving
3.48387 + -3.709y + 31y2 = 0

Solving for variable 'y'.

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

Divide each side by '31'.
0.1123829032 + -0.1196451613y + y2 = 0

Move the constant term to the right:

Add '-0.1123829032' to each side of the equation.
0.1123829032 + -0.1196451613y + -0.1123829032 + y2 = 0 + -0.1123829032

Reorder the terms:
0.1123829032 + -0.1123829032 + -0.1196451613y + y2 = 0 + -0.1123829032

Combine like terms: 0.1123829032 + -0.1123829032 = 0.0000000000
0.0000000000 + -0.1196451613y + y2 = 0 + -0.1123829032
-0.1196451613y + y2 = 0 + -0.1123829032

Combine like terms: 0 + -0.1123829032 = -0.1123829032
-0.1196451613y + y2 = -0.1123829032

The y term is -0.1196451613y.  Take half its coefficient (-0.05982258065).
Square it (0.003578741156) and add it to both sides.

Add '0.003578741156' to each side of the equation.
-0.1196451613y + 0.003578741156 + y2 = -0.1123829032 + 0.003578741156

Reorder the terms:
0.003578741156 + -0.1196451613y + y2 = -0.1123829032 + 0.003578741156

Combine like terms: -0.1123829032 + 0.003578741156 = -0.108804162044
0.003578741156 + -0.1196451613y + y2 = -0.108804162044

Factor a perfect square on the left side:
(y + -0.05982258065)(y + -0.05982258065) = -0.108804162044

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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