11x^2-8x+10=1

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Solution for 11x^2-8x+10=1 equation:


Simplifying
11x2 + -8x + 10 = 1

Reorder the terms:
10 + -8x + 11x2 = 1

Solving
10 + -8x + 11x2 = 1

Solving for variable 'x'.

Reorder the terms:
10 + -1 + -8x + 11x2 = 1 + -1

Combine like terms: 10 + -1 = 9
9 + -8x + 11x2 = 1 + -1

Combine like terms: 1 + -1 = 0
9 + -8x + 11x2 = 0

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

Divide each side by '11'.
0.8181818182 + -0.7272727273x + x2 = 0

Move the constant term to the right:

Add '-0.8181818182' to each side of the equation.
0.8181818182 + -0.7272727273x + -0.8181818182 + x2 = 0 + -0.8181818182

Reorder the terms:
0.8181818182 + -0.8181818182 + -0.7272727273x + x2 = 0 + -0.8181818182

Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000
0.0000000000 + -0.7272727273x + x2 = 0 + -0.8181818182
-0.7272727273x + x2 = 0 + -0.8181818182

Combine like terms: 0 + -0.8181818182 = -0.8181818182
-0.7272727273x + x2 = -0.8181818182

The x term is -0.7272727273x.  Take half its coefficient (-0.3636363637).
Square it (0.1322314050) and add it to both sides.

Add '0.1322314050' to each side of the equation.
-0.7272727273x + 0.1322314050 + x2 = -0.8181818182 + 0.1322314050

Reorder the terms:
0.1322314050 + -0.7272727273x + x2 = -0.8181818182 + 0.1322314050

Combine like terms: -0.8181818182 + 0.1322314050 = -0.6859504132
0.1322314050 + -0.7272727273x + x2 = -0.6859504132

Factor a perfect square on the left side:
(x + -0.3636363637)(x + -0.3636363637) = -0.6859504132

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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