x+5/x+3=4,76/x

Solution for x+5/x+3=4,76/x equation:

x+5/x+3=4.76/x

We move all terms to the left:

x+5/x+3-(4.76/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+5/x-(+4.76/x)+3=0

We get rid of parentheses

x+5/x-4.76/x+3=0

We multiply all the terms by the denominator


x*x+3*x+5-4.76=0

We add all the numbers together, and all the variables

3x+x*x+0.24=0

Wy multiply elements

x^2+3x+0.24=0

a = 1; b = 3; c = +0.24;
Δ = b2-4ac
Δ = 32-4·1·0.24
Δ = 8.04
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{-(3)-\sqrt{8.04}}{2*1}=\frac{-3-\sqrt{8.04}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{8.04}}{2*1}=\frac{-3+\sqrt{8.04}}{2}
$