2.6/x=x=54

Solution for 2.6/x=x=54 equation:

2.6/x=x=54

We move all terms to the left:

2.6/x-(x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-1x+2.6/x=0

We multiply all the terms by the denominator


-1x*x+2.6=0

Wy multiply elements

-1x^2+2.6=0

a = -1; b = 0; c = +2.6;
Δ = b2-4ac
Δ = 02-4·(-1)·2.6
Δ = 10.4
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{10.4}}{2*-1}=\frac{0-\sqrt{10.4}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{10.4}}{2*-1}=\frac{0+\sqrt{10.4}}{-2}
=\frac{\sqrt{}}{-2}
$