x+(1/x)-2.266=0

Solution for x+(1/x)-2.266=0 equation:

x+(1/x)-2.266=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+(+1/x)-2.266=0

We get rid of parentheses

x+1/x-2.266=0

We multiply all the terms by the denominator


x*x-(2.266)*x+1=0

We multiply parentheses

x*x-2.266x+1=0

Wy multiply elements

x^2-2.266x+1=0

a = 1; b = -2.266; c = +1;
Δ = b2-4ac
Δ = -2.2662-4·1·1
Δ = 1.134756
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{-(-2.266)-\sqrt{1.134756}}{2*1}=\frac{2.266-\sqrt{1.134756}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.266)+\sqrt{1.134756}}{2*1}=\frac{2.266+\sqrt{1.134756}}{2}
$