100x^2=0.01

Solution for 100x^2=0.01 equation:

100x^2=0.01

We move all terms to the left:

100x^2-(0.01)=0

We add all the numbers together, and all the variables

100x^2-0.01=0

a = 100; b = 0; c = -0.01;
Δ = b2-4ac
Δ = 02-4·100·(-0.01)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2}{2*100}=\frac{-2}{200}
=-1/100
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2}{2*100}=\frac{2}{200}
=1/100
$