(x^2)-(228.235x)+11745.1=0

Solution for (x^2)-(228.235x)+11745.1=0 equation:

(x^2)-(228.235x)+11745.1=0

We add all the numbers together, and all the variables

x^2-(+228.235x)+11745.1=0

We get rid of parentheses

x^2-228.235x+11745.1=0

a = 1; b = -228.235; c = +11745.1;
Δ = b2-4ac
Δ = -228.2352-4·1·11745.1
Δ = 5110.815225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-228.235)-\sqrt{5110.815225}}{2*1}=\frac{228.235-\sqrt{5110.815225}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-228.235)+\sqrt{5110.815225}}{2*1}=\frac{228.235+\sqrt{5110.815225}}{2}
$