X+(2/x)=5.4

Solution for X+(2/x)=5.4 equation:

X+(2/X)=5.4

We move all terms to the left:

X+(2/X)-(5.4)=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+(+2/X)-(5.4)=0

We add all the numbers together, and all the variables

X+(+2/X)-5.4=0

We get rid of parentheses

X+2/X-5.4=0

We multiply all the terms by the denominator


X*X-(5.4)*X+2=0

We multiply parentheses

X*X-5.4X+2=0

Wy multiply elements

X^2-5.4X+2=0

a = 1; b = -5.4; c = +2;
Δ = b2-4ac
Δ = -5.42-4·1·2
Δ = 21.16
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{-(-5.4)-\sqrt{21.16}}{2*1}=\frac{5.4-\sqrt{21.16}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5.4)+\sqrt{21.16}}{2*1}=\frac{5.4+\sqrt{21.16}}{2}
$