5a^2-7a+11=0

Solution for 5a^2-7a+11=0 equation:

Simplifying
5a2 + -7a + 11 = 0

Reorder the terms:
11 + -7a + 5a2 = 0

Solving
11 + -7a + 5a2 = 0

Solving for variable 'a'.

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

Divide each side by '5'.
2.2 + -1.4a + a2 = 0

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + -1.4a + -2.2 + a2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + -1.4a + a2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -1.4a + a2 = 0 + -2.2
-1.4a + a2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
-1.4a + a2 = -2.2

The a term is -1.4a.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4a + 0.49 + a2 = -2.2 + 0.49

Reorder the terms:
0.49 + -1.4a + a2 = -2.2 + 0.49

Combine like terms: -2.2 + 0.49 = -1.71
0.49 + -1.4a + a2 = -1.71

Factor a perfect square on the left side:
(a + -0.7)(a + -0.7) = -1.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.