R(x)=44x-0.01x^2

Solution for R(x)=44x-0.01x^2 equation:

(R)=44R-0.01R^2

We move all terms to the left:

(R)-(44R-0.01R^2)=0

We get rid of parentheses

0.01R^2-44R+R=0

We add all the numbers together, and all the variables

0.01R^2-43R=0

a = 0.01; b = -43; c = 0;
Δ = b2-4ac
Δ = -432-4·0.01·0
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$R_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$R_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$R_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-43)-43}{2*0.01}=\frac{0}{0.02}
=0
$
$R_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-43)+43}{2*0.01}=\frac{86}{0.02}
=4300
$