x^2+1.125x+1=0

Solution for x^2+1.125x+1=0 equation:

Simplifying
x2 + 1.125x + 1 = 0

Reorder the terms:
1 + 1.125x + x2 = 0

Solving
1 + 1.125x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.125x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 1.125x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.125x + x2 = 0 + -1
1.125x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.125x + x2 = -1

The x term is 1.125x.  Take half its coefficient (0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
1.125x + 0.31640625 + x2 = -1 + 0.31640625

Reorder the terms:
0.31640625 + 1.125x + x2 = -1 + 0.31640625

Combine like terms: -1 + 0.31640625 = -0.68359375
0.31640625 + 1.125x + x2 = -0.68359375

Factor a perfect square on the left side:
(x + 0.5625)(x + 0.5625) = -0.68359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.