(0.01x)-(20/x)=0.01

Solution for (0.01x)-(20/x)=0.01 equation:

(0.01x)-(20/x)=0.01

We move all terms to the left:

(0.01x)-(20/x)-(0.01)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+0.01x)-(+20/x)-(0.01)=0

We add all the numbers together, and all the variables

(+0.01x)-(+20/x)-0.01=0

We get rid of parentheses

0.01x-20/x-0.01=0

We multiply all the terms by the denominator


(0.01x)*x-(0.01)*x-20=0

We add all the numbers together, and all the variables

(+0.01x)*x-(0.01)*x-20=0

We multiply parentheses

0x^2-0.01x-20=0

We add all the numbers together, and all the variables

x^2-0.01x-20=0

a = 1; b = -0.01; c = -20;
Δ = b2-4ac
Δ = -0.012-4·1·(-20)
Δ = 80.0001
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{-(-0.01)-\sqrt{80.0001}}{2*1}=\frac{0.01-\sqrt{80.0001}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.01)+\sqrt{80.0001}}{2*1}=\frac{0.01+\sqrt{80.0001}}{2}
$