X=17.50/3y

Solution for X=17.50/3y equation:

X=17.50/3X

We move all terms to the left:

X-(17.50/3X)=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-(+17.50/3X)=0

We get rid of parentheses

X-17.50/3X=0

We multiply all the terms by the denominator


X*3X-17.50=0

We add all the numbers together, and all the variables

X*3X-17.5=0

Wy multiply elements

3X^2-17.5=0

a = 3; b = 0; c = -17.5;
Δ = b2-4ac
Δ = 02-4·3·(-17.5)
Δ = 210
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{210}}{2*3}=\frac{0-\sqrt{210}}{6}
=-\frac{\sqrt{}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{210}}{2*3}=\frac{0+\sqrt{210}}{6}
=\frac{\sqrt{}}{6}
$