R(x)=18x/x+17

Solution for R(x)=18x/x+17 equation:

(R)=18R/R+17

We move all terms to the left:

(R)-(18R/R+17)=0


Domain of the equation: R+17)!=0

R∈R


We get rid of parentheses

R-18R/R-17=0

We multiply all the terms by the denominator


R*R-18R-17*R=0

We add all the numbers together, and all the variables

-35R+R*R=0

Wy multiply elements

R^2-35R=0

a = 1; b = -35; c = 0;
Δ = b2-4ac
Δ = -352-4·1·0
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$R_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$R_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$R_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-35}{2*1}=\frac{0}{2}
=0
$
$R_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+35}{2*1}=\frac{70}{2}
=35
$