13v^2-5v+9=0

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Solution for 13v^2-5v+9=0 equation:


Simplifying
13v2 + -5v + 9 = 0

Reorder the terms:
9 + -5v + 13v2 = 0

Solving
9 + -5v + 13v2 = 0

Solving for variable 'v'.

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

Divide each side by '13'.
0.6923076923 + -0.3846153846v + v2 = 0

Move the constant term to the right:

Add '-0.6923076923' to each side of the equation.
0.6923076923 + -0.3846153846v + -0.6923076923 + v2 = 0 + -0.6923076923

Reorder the terms:
0.6923076923 + -0.6923076923 + -0.3846153846v + v2 = 0 + -0.6923076923

Combine like terms: 0.6923076923 + -0.6923076923 = 0.0000000000
0.0000000000 + -0.3846153846v + v2 = 0 + -0.6923076923
-0.3846153846v + v2 = 0 + -0.6923076923

Combine like terms: 0 + -0.6923076923 = -0.6923076923
-0.3846153846v + v2 = -0.6923076923

The v term is -0.3846153846v.  Take half its coefficient (-0.1923076923).
Square it (0.03698224852) and add it to both sides.

Add '0.03698224852' to each side of the equation.
-0.3846153846v + 0.03698224852 + v2 = -0.6923076923 + 0.03698224852

Reorder the terms:
0.03698224852 + -0.3846153846v + v2 = -0.6923076923 + 0.03698224852

Combine like terms: -0.6923076923 + 0.03698224852 = -0.65532544378
0.03698224852 + -0.3846153846v + v2 = -0.65532544378

Factor a perfect square on the left side:
(v + -0.1923076923)(v + -0.1923076923) = -0.65532544378

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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