x/x2=800

Solution for x/x2=800 equation:

x/x2=800

We move all terms to the left:

x/x2-(800)=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-800*x2=0

We add all the numbers together, and all the variables

-800x^2+x=0

a = -800; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-800)·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*-800}=\frac{-2}{-1600}
=1/800
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-800}=\frac{0}{-1600}
=0
$