2v^2-9v+13=

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


Simplifying
2v2 + -9v + 13 = 0

Reorder the terms:
13 + -9v + 2v2 = 0

Solving
13 + -9v + 2v2 = 0

Solving for variable 'v'.

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

Divide each side by '2'.
6.5 + -4.5v + v2 = 0

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + -4.5v + -6.5 + v2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + -4.5v + v2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -4.5v + v2 = 0 + -6.5
-4.5v + v2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
-4.5v + v2 = -6.5

The v term is -4.5v.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5v + 5.0625 + v2 = -6.5 + 5.0625

Reorder the terms:
5.0625 + -4.5v + v2 = -6.5 + 5.0625

Combine like terms: -6.5 + 5.0625 = -1.4375
5.0625 + -4.5v + v2 = -1.4375

Factor a perfect square on the left side:
(v + -2.25)(v + -2.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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