(9/x)X=3X

Solution for (9/x)X=3X equation:

(9/x)x=3x

We move all terms to the left:

(9/x)x-(3x)=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

(+9/x)x-3x=0

We add all the numbers together, and all the variables

-3x+(+9/x)x=0

We multiply parentheses

9x^2-3x=0

a = 9; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·9·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*9}=\frac{0}{18}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*9}=\frac{6}{18}
=1/3
$