10000x^2=33

Solution for 10000x^2=33 equation:

10000x^2=33

We move all terms to the left:

10000x^2-(33)=0

a = 10000; b = 0; c = -33;
Δ = b2-4ac
Δ = 02-4·10000·(-33)
Δ = 1320000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1320000}=\sqrt{40000*33}=\sqrt{40000}*\sqrt{33}=200\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{33}}{2*10000}=\frac{0-200\sqrt{33}}{20000}
=-\frac{200\sqrt{33}}{20000}
=-\frac{\sqrt{33}}{100}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{33}}{2*10000}=\frac{0+200\sqrt{33}}{20000}
=\frac{200\sqrt{33}}{20000}
=\frac{\sqrt{33}}{100}
$