4a^2+9a+11=0

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Solution for 4a^2+9a+11=0 equation:


Simplifying
4a2 + 9a + 11 = 0

Reorder the terms:
11 + 9a + 4a2 = 0

Solving
11 + 9a + 4a2 = 0

Solving for variable 'a'.

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

Divide each side by '4'.
2.75 + 2.25a + a2 = 0

Move the constant term to the right:

Add '-2.75' to each side of the equation.
2.75 + 2.25a + -2.75 + a2 = 0 + -2.75

Reorder the terms:
2.75 + -2.75 + 2.25a + a2 = 0 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + 2.25a + a2 = 0 + -2.75
2.25a + a2 = 0 + -2.75

Combine like terms: 0 + -2.75 = -2.75
2.25a + a2 = -2.75

The a term is 2.25a.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25a + 1.265625 + a2 = -2.75 + 1.265625

Reorder the terms:
1.265625 + 2.25a + a2 = -2.75 + 1.265625

Combine like terms: -2.75 + 1.265625 = -1.484375
1.265625 + 2.25a + a2 = -1.484375

Factor a perfect square on the left side:
(a + 1.125)(a + 1.125) = -1.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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