X=488/3x

Solution for X=488/3x equation:

X=488/3X

We move all terms to the left:

X-(488/3X)=0


Domain of the equation: 3X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+488/3X)=0

We get rid of parentheses

X-488/3X=0

We multiply all the terms by the denominator


X*3X-488=0

Wy multiply elements

3X^2-488=0

a = 3; b = 0; c = -488;
Δ = b2-4ac
Δ = 02-4·3·(-488)
Δ = 5856
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5856}=\sqrt{16*366}=\sqrt{16}*\sqrt{366}=4\sqrt{366}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{366}}{2*3}=\frac{0-4\sqrt{366}}{6}
=-\frac{4\sqrt{366}}{6}
=-\frac{2\sqrt{366}}{3}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{366}}{2*3}=\frac{0+4\sqrt{366}}{6}
=\frac{4\sqrt{366}}{6}
=\frac{2\sqrt{366}}{3}
$