X=20n/n

Solution for X=20n/n equation:

X=20X/X

We move all terms to the left:

X-(20X/X)=0


Domain of the equation: X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+20X/X)=0

We get rid of parentheses

X-20X/X=0

We multiply all the terms by the denominator


X*X-20X=0

We add all the numbers together, and all the variables

-20X+X*X=0

Wy multiply elements

X^2-20X=0

a = 1; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·1·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*1}=\frac{40}{2}
=20
$