100-3x^2=0.001x^2

Solution for 100-3x^2=0.001x^2 equation:

100-3x^2=0.001x^2

We move all terms to the left:

100-3x^2-(0.001x^2)=0

We get rid of parentheses

-3x^2-0.001x^2+100=0

We add all the numbers together, and all the variables

-3.001x^2+100=0

a = -3.001; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-3.001)·100
Δ = 1200.4
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{1200.4}}{2*-3.001}=\frac{0-\sqrt{1200.4}}{-6.002}
=-\frac{\sqrt{}}{-6.002}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1200.4}}{2*-3.001}=\frac{0+\sqrt{1200.4}}{-6.002}
=\frac{\sqrt{}}{-6.002}
$