X=0.2/y

Solution for X=0.2/y equation:

X=0.2/X

We move all terms to the left:

X-(0.2/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-(+0.2/X)=0

We get rid of parentheses

X-0.2/X=0

We multiply all the terms by the denominator


X*X-0.2=0

Wy multiply elements

X^2-0.2=0

a = 1; b = 0; c = -0.2;
Δ = b2-4ac
Δ = 02-4·1·(-0.2)
Δ = 0.8
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{0.8}}{2*1}=\frac{0-\sqrt{0.8}}{2}
=-\frac{\sqrt{}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.8}}{2*1}=\frac{0+\sqrt{0.8}}{2}
=\frac{\sqrt{}}{2}
$