x/x2=361

Solution for x/x2=361 equation:

x/x2=361

We move all terms to the left:

x/x2-(361)=0


Domain of the equation: x2!=0

x^2!=0/

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


x-361*x2=0

We add all the numbers together, and all the variables

-361x^2+x=0

a = -361; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-361)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-361}=\frac{-2}{-722}
=1/361
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-361}=\frac{0}{-722}
=0
$