11a^2-9a+5=0

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Solution for 11a^2-9a+5=0 equation:


Simplifying
11a2 + -9a + 5 = 0

Reorder the terms:
5 + -9a + 11a2 = 0

Solving
5 + -9a + 11a2 = 0

Solving for variable 'a'.

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

Divide each side by '11'.
0.4545454545 + -0.8181818182a + a2 = 0

Move the constant term to the right:

Add '-0.4545454545' to each side of the equation.
0.4545454545 + -0.8181818182a + -0.4545454545 + a2 = 0 + -0.4545454545

Reorder the terms:
0.4545454545 + -0.4545454545 + -0.8181818182a + a2 = 0 + -0.4545454545

Combine like terms: 0.4545454545 + -0.4545454545 = 0.0000000000
0.0000000000 + -0.8181818182a + a2 = 0 + -0.4545454545
-0.8181818182a + a2 = 0 + -0.4545454545

Combine like terms: 0 + -0.4545454545 = -0.4545454545
-0.8181818182a + a2 = -0.4545454545

The a term is -0.8181818182a.  Take half its coefficient (-0.4090909091).
Square it (0.1673553719) and add it to both sides.

Add '0.1673553719' to each side of the equation.
-0.8181818182a + 0.1673553719 + a2 = -0.4545454545 + 0.1673553719

Reorder the terms:
0.1673553719 + -0.8181818182a + a2 = -0.4545454545 + 0.1673553719

Combine like terms: -0.4545454545 + 0.1673553719 = -0.2871900826
0.1673553719 + -0.8181818182a + a2 = -0.2871900826

Factor a perfect square on the left side:
(a + -0.4090909091)(a + -0.4090909091) = -0.2871900826

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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