X+2=483/x

Solution for X+2=483/x equation:

X+2=483/X

We move all terms to the left:

X+2-(483/X)=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-(+483/X)+2=0

We get rid of parentheses

X-483/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

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