0.4/x=2.X=

Solution for 0.4/x=2.X= equation:

0.4/x=2.x=

We move all terms to the left:

0.4/x-(2.x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

0.4/x-(+2.x)=0

We get rid of parentheses

0.4/x-2.x=0

We multiply all the terms by the denominator


-(2.x)*x+0.4=0

We add all the numbers together, and all the variables

-(+2.x)*x+0.4=0

We multiply parentheses

-2x^2+0.4=0

a = -2; b = 0; c = +0.4;
Δ = b2-4ac
Δ = 02-4·(-2)·0.4
Δ = 3.2
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)-\sqrt{3.2}}{2*-2}=\frac{0-\sqrt{3.2}}{-4}
=-\frac{\sqrt{}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3.2}}{2*-2}=\frac{0+\sqrt{3.2}}{-4}
=\frac{\sqrt{}}{-4}
$