11x^2-3x+5=0

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Solution for 11x^2-3x+5=0 equation:


Simplifying
11x2 + -3x + 5 = 0

Reorder the terms:
5 + -3x + 11x2 = 0

Solving
5 + -3x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
0.4545454545 + -0.2727272727x + x2 = 0

Move the constant term to the right:

Add '-0.4545454545' to each side of the equation.
0.4545454545 + -0.2727272727x + -0.4545454545 + x2 = 0 + -0.4545454545

Reorder the terms:
0.4545454545 + -0.4545454545 + -0.2727272727x + x2 = 0 + -0.4545454545

Combine like terms: 0.4545454545 + -0.4545454545 = 0.0000000000
0.0000000000 + -0.2727272727x + x2 = 0 + -0.4545454545
-0.2727272727x + x2 = 0 + -0.4545454545

Combine like terms: 0 + -0.4545454545 = -0.4545454545
-0.2727272727x + x2 = -0.4545454545

The x term is -0.2727272727x.  Take half its coefficient (-0.1363636364).
Square it (0.01859504133) and add it to both sides.

Add '0.01859504133' to each side of the equation.
-0.2727272727x + 0.01859504133 + x2 = -0.4545454545 + 0.01859504133

Reorder the terms:
0.01859504133 + -0.2727272727x + x2 = -0.4545454545 + 0.01859504133

Combine like terms: -0.4545454545 + 0.01859504133 = -0.43595041317
0.01859504133 + -0.2727272727x + x2 = -0.43595041317

Factor a perfect square on the left side:
(x + -0.1363636364)(x + -0.1363636364) = -0.43595041317

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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