C(x)=x^2-220x+23,787

Solution for C(x)=x^2-220x+23,787 equation:

(C)=C^2-220C+23.787

We move all terms to the left:

(C)-(C^2-220C+23.787)=0

We get rid of parentheses

-C^2+C+220C-23.787=0

We add all the numbers together, and all the variables

-1C^2+221C-23.787=0

a = -1; b = 221; c = -23.787;
Δ = b2-4ac
Δ = 2212-4·(-1)·(-23.787)
Δ = 48745.852
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$C_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$C_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(221)-\sqrt{48745.852}}{2*-1}=\frac{-221-\sqrt{48745.852}}{-2}
$
$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(221)+\sqrt{48745.852}}{2*-1}=\frac{-221+\sqrt{48745.852}}{-2}
$