2/x+x=183

Solution for 2/x+x=183 equation:

2/x+x=183

We move all terms to the left:

2/x+x-(183)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x+2/x-183=0

We multiply all the terms by the denominator


x*x-183*x+2=0

We add all the numbers together, and all the variables

-183x+x*x+2=0

Wy multiply elements

x^2-183x+2=0

a = 1; b = -183; c = +2;
Δ = b2-4ac
Δ = -1832-4·1·2
Δ = 33481
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{-(-183)-\sqrt{33481}}{2*1}=\frac{183-\sqrt{33481}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-183)+\sqrt{33481}}{2*1}=\frac{183+\sqrt{33481}}{2}
$