X(82.8/2.3x)=82.8

Solution for X(82.8/2.3x)=82.8 equation:

X(82.8/2.3X)=82.8

We move all terms to the left:

X(82.8/2.3X)-(82.8)=0


Domain of the equation: 2.3X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X(+82.8/2.3X)-(82.8)=0

We add all the numbers together, and all the variables

X(+82.8/2.3X)-82.8=0

We multiply parentheses

82X^2-82.8=0

a = 82; b = 0; c = -82.8;
Δ = b2-4ac
Δ = 02-4·82·(-82.8)
Δ = 27158.4
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{27158.4}}{2*82}=\frac{0-\sqrt{27158.4}}{164}
=-\frac{\sqrt{}}{164}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{27158.4}}{2*82}=\frac{0+\sqrt{27158.4}}{164}
=\frac{\sqrt{}}{164}
$