3x^2-10^8=0

Solution for 3x^2-10^8=0 equation:

3x^2-10^8=0

We add all the numbers together, and all the variables

3x^2-100000000=0

a = 3; b = 0; c = -100000000;
Δ = b2-4ac
Δ = 02-4·3·(-100000000)
Δ = 1200000000
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:

$\sqrt{\Delta}=\sqrt{1200000000}=\sqrt{400000000*3}=\sqrt{400000000}*\sqrt{3}=20000\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20000\sqrt{3}}{2*3}=\frac{0-20000\sqrt{3}}{6}
=-\frac{20000\sqrt{3}}{6}
=-\frac{10000\sqrt{3}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20000\sqrt{3}}{2*3}=\frac{0+20000\sqrt{3}}{6}
=\frac{20000\sqrt{3}}{6}
=\frac{10000\sqrt{3}}{3}
$