11x^2-10x+10=0

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Solution for 11x^2-10x+10=0 equation:


Simplifying
11x2 + -10x + 10 = 0

Reorder the terms:
10 + -10x + 11x2 = 0

Solving
10 + -10x + 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'.
0.9090909091 + -0.9090909091x + x2 = 0

Move the constant term to the right:

Add '-0.9090909091' to each side of the equation.
0.9090909091 + -0.9090909091x + -0.9090909091 + x2 = 0 + -0.9090909091

Reorder the terms:
0.9090909091 + -0.9090909091 + -0.9090909091x + x2 = 0 + -0.9090909091

Combine like terms: 0.9090909091 + -0.9090909091 = 0.0000000000
0.0000000000 + -0.9090909091x + x2 = 0 + -0.9090909091
-0.9090909091x + x2 = 0 + -0.9090909091

Combine like terms: 0 + -0.9090909091 = -0.9090909091
-0.9090909091x + x2 = -0.9090909091

The x term is -0.9090909091x.  Take half its coefficient (-0.4545454546).
Square it (0.2066115703) and add it to both sides.

Add '0.2066115703' to each side of the equation.
-0.9090909091x + 0.2066115703 + x2 = -0.9090909091 + 0.2066115703

Reorder the terms:
0.2066115703 + -0.9090909091x + x2 = -0.9090909091 + 0.2066115703

Combine like terms: -0.9090909091 + 0.2066115703 = -0.7024793388
0.2066115703 + -0.9090909091x + x2 = -0.7024793388

Factor a perfect square on the left side:
(x + -0.4545454546)(x + -0.4545454546) = -0.7024793388

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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