3x^2=10^7

Solution for 3x^2=10^7 equation:

3x^2=10^7

We move all terms to the left:

3x^2-(10^7)=0

We add all the numbers together, and all the variables

3x^2-10000000=0

a = 3; b = 0; c = -10000000;
Δ = b2-4ac
Δ = 02-4·3·(-10000000)
Δ = 120000000
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:

$\sqrt{\Delta}=\sqrt{120000000}=\sqrt{4000000*30}=\sqrt{4000000}*\sqrt{30}=2000\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2000\sqrt{30}}{2*3}=\frac{0-2000\sqrt{30}}{6}
=-\frac{2000\sqrt{30}}{6}
=-\frac{1000\sqrt{30}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2000\sqrt{30}}{2*3}=\frac{0+2000\sqrt{30}}{6}
=\frac{2000\sqrt{30}}{6}
=\frac{1000\sqrt{30}}{3}
$