483/x=x+2

Solution for 483/x=x+2 equation:

483/x=x+2

We move all terms to the left:

483/x-(x+2)=0


Domain of the equation: x!=0

x∈R


We get rid of parentheses

483/x-x-2=0

We multiply all the terms by the denominator


-x*x-2*x+483=0

We add all the numbers together, and all the variables

-2x-x*x+483=0

Wy multiply elements

-1x^2-2x+483=0

a = -1; b = -2; c = +483;
Δ = b2-4ac
Δ = -22-4·(-1)·483
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-44}{2*-1}=\frac{-42}{-2}
=+21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+44}{2*-1}=\frac{46}{-2}
=-23
$