x=24.7/x

Solution for x=24.7/x equation:

x=24.7/x

We move all terms to the left:

x-(24.7/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-(+24.7/x)=0

We get rid of parentheses

x-24.7/x=0

We multiply all the terms by the denominator


x*x-24.7=0

Wy multiply elements

x^2-24.7=0

a = 1; b = 0; c = -24.7;
Δ = b2-4ac
Δ = 02-4·1·(-24.7)
Δ = 98.8
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{98.8}}{2*1}=\frac{0-\sqrt{98.8}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{98.8}}{2*1}=\frac{0+\sqrt{98.8}}{2}
=\frac{\sqrt{}}{2}
$