x-2/x+4/4=4/x

Solution for x-2/x+4/4=4/x equation:

x-2/x+4/4=4/x

We move all terms to the left:

x-2/x+4/4-(4/x)=0


Domain of the equation: x!=0

x∈R



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-(+4/x)+4/4=0

We add all the numbers together, and all the variables

x-2/x-(+4/x)+1=0

We get rid of parentheses

x-2/x-4/x+1=0

We multiply all the terms by the denominator


x*x+1*x-2-4=0

We add all the numbers together, and all the variables

x+x*x-6=0

Wy multiply elements

x^2+x-6=0

a = 1; b = 1; c = -6;
Δ = b2-4ac
Δ = 12-4·1·(-6)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-5}{2*1}=\frac{-6}{2}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+5}{2*1}=\frac{4}{2}
=2
$