x=1.05/1x

Solution for x=1.05/1x equation:

x=1.05/1x

We move all terms to the left:

x-(1.05/1x)=0


Domain of the equation: 1x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(+1.05/1x)=0

We get rid of parentheses

x-1.05/1x=0

We multiply all the terms by the denominator


x*1x-1.05=0

Wy multiply elements

x^2-1.05=0

a = 1; b = 0; c = -1.05;
Δ = b2-4ac
Δ = 02-4·1·(-1.05)
Δ = 4.2
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{4.2}}{2*1}=\frac{0-\sqrt{4.2}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{4.2}}{2*1}=\frac{0+\sqrt{4.2}}{2}
=\frac{\sqrt{}}{2}
$