x/2x^2=200

Solution for x/2x^2=200 equation:

x/2x^2=200

We move all terms to the left:

x/2x^2-(200)=0


Domain of the equation: 2x^2!=0

x^2!=0/2

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


x-200*2x^2=0

Wy multiply elements

-400x^2+x=0

a = -400; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-400)·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*-400}=\frac{-2}{-800}
=1/400
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-400}=\frac{0}{-800}
=0
$