9y^2-y+3=0

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Solution for 9y^2-y+3=0 equation:


Simplifying
9y2 + -1y + 3 = 0

Reorder the terms:
3 + -1y + 9y2 = 0

Solving
3 + -1y + 9y2 = 0

Solving for variable 'y'.

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

Divide each side by '9'.
0.3333333333 + -0.1111111111y + y2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.1111111111y + -0.3333333333 + y2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.1111111111y + y2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.1111111111y + y2 = 0 + -0.3333333333
-0.1111111111y + y2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.1111111111y + y2 = -0.3333333333

The y term is -0.1111111111y.  Take half its coefficient (-0.05555555555).
Square it (0.003086419752) and add it to both sides.

Add '0.003086419752' to each side of the equation.
-0.1111111111y + 0.003086419752 + y2 = -0.3333333333 + 0.003086419752

Reorder the terms:
0.003086419752 + -0.1111111111y + y2 = -0.3333333333 + 0.003086419752

Combine like terms: -0.3333333333 + 0.003086419752 = -0.330246913548
0.003086419752 + -0.1111111111y + y2 = -0.330246913548

Factor a perfect square on the left side:
(y + -0.05555555555)(y + -0.05555555555) = -0.330246913548

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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