X=234/y

Solution for X=234/y equation:

X=234/X

We move all terms to the left:

X-(234/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-(+234/X)=0

We get rid of parentheses

X-234/X=0

We multiply all the terms by the denominator


X*X-234=0

Wy multiply elements

X^2-234=0

a = 1; b = 0; c = -234;
Δ = b2-4ac
Δ = 02-4·1·(-234)
Δ = 936
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:

$\sqrt{\Delta}=\sqrt{936}=\sqrt{36*26}=\sqrt{36}*\sqrt{26}=6\sqrt{26}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{26}}{2*1}=\frac{0-6\sqrt{26}}{2}
=-\frac{6\sqrt{26}}{2}
=-3\sqrt{26}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{26}}{2*1}=\frac{0+6\sqrt{26}}{2}
=\frac{6\sqrt{26}}{2}
=3\sqrt{26}
$