245x^2-13x+5=0

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Solution for 245x^2-13x+5=0 equation:


Simplifying
245x2 + -13x + 5 = 0

Reorder the terms:
5 + -13x + 245x2 = 0

Solving
5 + -13x + 245x2 = 0

Solving for variable 'x'.

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

Divide each side by '245'.
0.02040816327 + -0.05306122449x + x2 = 0

Move the constant term to the right:

Add '-0.02040816327' to each side of the equation.
0.02040816327 + -0.05306122449x + -0.02040816327 + x2 = 0 + -0.02040816327

Reorder the terms:
0.02040816327 + -0.02040816327 + -0.05306122449x + x2 = 0 + -0.02040816327

Combine like terms: 0.02040816327 + -0.02040816327 = 0.00000000000
0.00000000000 + -0.05306122449x + x2 = 0 + -0.02040816327
-0.05306122449x + x2 = 0 + -0.02040816327

Combine like terms: 0 + -0.02040816327 = -0.02040816327
-0.05306122449x + x2 = -0.02040816327

The x term is -0.05306122449x.  Take half its coefficient (-0.02653061225).
Square it (0.0007038733864) and add it to both sides.

Add '0.0007038733864' to each side of the equation.
-0.05306122449x + 0.0007038733864 + x2 = -0.02040816327 + 0.0007038733864

Reorder the terms:
0.0007038733864 + -0.05306122449x + x2 = -0.02040816327 + 0.0007038733864

Combine like terms: -0.02040816327 + 0.0007038733864 = -0.0197042898836
0.0007038733864 + -0.05306122449x + x2 = -0.0197042898836

Factor a perfect square on the left side:
(x + -0.02653061225)(x + -0.02653061225) = -0.0197042898836

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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