x-1/x=0.46497

Solution for x-1/x=0.46497 equation:

x-1/x=0.46497

We move all terms to the left:

x-1/x-(0.46497)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x-1/x-0.46497=0

We multiply all the terms by the denominator


x*x-(0.46497)*x-1=0

We multiply parentheses

x*x-0.46497x-1=0

Wy multiply elements

x^2-0.46497x-1=0

a = 1; b = -0.46497; c = -1;
Δ = b2-4ac
Δ = -0.464972-4·1·(-1)
Δ = 4.2161971009
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{-(-0.46497)-\sqrt{4.2161971009}}{2*1}=\frac{0.46497-\sqrt{4.2161971009}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.46497)+\sqrt{4.2161971009}}{2*1}=\frac{0.46497+\sqrt{4.2161971009}}{2}
$