x=19.62/x

Solution for x=19.62/x equation:

x=19.62/x

We move all terms to the left:

x-(19.62/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-(+19.62/x)=0

We get rid of parentheses

x-19.62/x=0

We multiply all the terms by the denominator


x*x-19.62=0

Wy multiply elements

x^2-19.62=0

a = 1; b = 0; c = -19.62;
Δ = b2-4ac
Δ = 02-4·1·(-19.62)
Δ = 78.48
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{78.48}}{2*1}=\frac{0-\sqrt{78.48}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{78.48}}{2*1}=\frac{0+\sqrt{78.48}}{2}
=\frac{\sqrt{}}{2}
$