X^2-19X+90.5=

Solution for X^2-19X+90.5= equation:

Simplifying
X2 + -19X + 90.5 = 0

Reorder the terms:
90.5 + -19X + X2 = 0

Solving
90.5 + -19X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-90.5' to each side of the equation.
90.5 + -19X + -90.5 + X2 = 0 + -90.5

Reorder the terms:
90.5 + -90.5 + -19X + X2 = 0 + -90.5

Combine like terms: 90.5 + -90.5 = 0.0
0.0 + -19X + X2 = 0 + -90.5
-19X + X2 = 0 + -90.5

Combine like terms: 0 + -90.5 = -90.5
-19X + X2 = -90.5

The X term is -19X.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19X + 90.25 + X2 = -90.5 + 90.25

Reorder the terms:
90.25 + -19X + X2 = -90.5 + 90.25

Combine like terms: -90.5 + 90.25 = -0.25
90.25 + -19X + X2 = -0.25

Factor a perfect square on the left side:
(X + -9.5)(X + -9.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.