X=4.83/x-2

Solution for X=4.83/x-2 equation:

X=4.83/X-2

We move all terms to the left:

X-(4.83/X-2)=0


Domain of the equation: X-2)!=0

X∈R


We get rid of parentheses

X-4.83/X+2=0

We multiply all the terms by the denominator


X*X+2*X-4.83=0

We add all the numbers together, and all the variables

2X+X*X-4.83=0

Wy multiply elements

X^2+2X-4.83=0

a = 1; b = 2; c = -4.83;
Δ = b2-4ac
Δ = 22-4·1·(-4.83)
Δ = 23.32
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)-\sqrt{23.32}}{2*1}=\frac{-2-\sqrt{23.32}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{23.32}}{2*1}=\frac{-2+\sqrt{23.32}}{2}
$