R(x)=23500x-1000x^2

Solution for R(x)=23500x-1000x^2 equation:

(R)=23500R-1000R^2

We move all terms to the left:

(R)-(23500R-1000R^2)=0

We get rid of parentheses

1000R^2-23500R+R=0

We add all the numbers together, and all the variables

1000R^2-23499R=0

a = 1000; b = -23499; c = 0;
Δ = b2-4ac
Δ = -234992-4·1000·0
Δ = 552203001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$R_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$R_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{552203001}=23499$
$R_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-23499)-23499}{2*1000}=\frac{0}{2000}
=0
$
$R_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23499)+23499}{2*1000}=\frac{46998}{2000}
=23+499/1000
$