20,16/x=4x

Solution for 20,16/x=4x equation:

20.16/x=4x

We move all terms to the left:

20.16/x-(4x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-4x+20.16/x=0

We multiply all the terms by the denominator


-4x*x+20.16=0

Wy multiply elements

-4x^2+20.16=0

a = -4; b = 0; c = +20.16;
Δ = b2-4ac
Δ = 02-4·(-4)·20.16
Δ = 322.56
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{322.56}}{2*-4}=\frac{0-\sqrt{322.56}}{-8}
=-\frac{\sqrt{}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{322.56}}{2*-4}=\frac{0+\sqrt{322.56}}{-8}
=\frac{\sqrt{}}{-8}
$