R(x)=8800x-110x2

Solution for R(x)=8800x-110x2 equation:

(R)=8800R-110R^2

We move all terms to the left:

(R)-(8800R-110R^2)=0

We get rid of parentheses

110R^2-8800R+R=0

We add all the numbers together, and all the variables

110R^2-8799R=0

a = 110; b = -8799; c = 0;
Δ = b2-4ac
Δ = -87992-4·110·0
Δ = 77422401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$R_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$R_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{77422401}=8799$
$R_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8799)-8799}{2*110}=\frac{0}{220}
=0
$
$R_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8799)+8799}{2*110}=\frac{17598}{220}
=79+109/110
$