(3/x)*x=x

Solution for (3/x)*x=x equation:

(3/x)*x=x

We move all terms to the left:

(3/x)*x-(x)=0


Domain of the equation: x)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+3/x)*x-x=0

We add all the numbers together, and all the variables

-1x+(+3/x)*x=0

We multiply parentheses

3x^2-1x=0

a = 3; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·3·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*3}=\frac{0}{6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*3}=\frac{2}{6}
=1/3
$