a^2+11=3a

Solution for a^2+11=3a equation:

Simplifying
a2 + 11 = 3a

Reorder the terms:
11 + a2 = 3a

Solving
11 + a2 = 3a

Solving for variable 'a'.

Reorder the terms:
11 + -3a + a2 = 3a + -3a

Combine like terms: 3a + -3a = 0
11 + -3a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -3a + -11 + a2 = 0 + -11

Reorder the terms:
11 + -11 + -3a + a2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3a + a2 = 0 + -11
-3a + a2 = 0 + -11

Combine like terms: 0 + -11 = -11
-3a + a2 = -11

The a term is -3a.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3a + 2.25 + a2 = -11 + 2.25

Reorder the terms:
2.25 + -3a + a2 = -11 + 2.25

Combine like terms: -11 + 2.25 = -8.75
2.25 + -3a + a2 = -8.75

Factor a perfect square on the left side:
(a + -1.5)(a + -1.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.