5,7x-55,86/x=0

Solution for 5,7x-55,86/x=0 equation:

5.7x-55.86/x=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


(5.7x)*x-55.86=0

We add all the numbers together, and all the variables

(+5.7x)*x-55.86=0

We multiply parentheses

5x^2-55.86=0

a = 5; b = 0; c = -55.86;
Δ = b2-4ac
Δ = 02-4·5·(-55.86)
Δ = 1117.2
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{-(0)-\sqrt{1117.2}}{2*5}=\frac{0-\sqrt{1117.2}}{10}
=-\frac{\sqrt{}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1117.2}}{2*5}=\frac{0+\sqrt{1117.2}}{10}
=\frac{\sqrt{}}{10}
$