x*x=50000000

Solution for x*x=50000000 equation:

x*x=50000000

We move all terms to the left:

x*x-(50000000)=0

Wy multiply elements

x^2-50000000=0

a = 1; b = 0; c = -50000000;
Δ = b2-4ac
Δ = 02-4·1·(-50000000)
Δ = 200000000
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:

$\sqrt{\Delta}=\sqrt{200000000}=\sqrt{100000000*2}=\sqrt{100000000}*\sqrt{2}=10000\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10000\sqrt{2}}{2*1}=\frac{0-10000\sqrt{2}}{2}
=-\frac{10000\sqrt{2}}{2}
=-5000\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10000\sqrt{2}}{2*1}=\frac{0+10000\sqrt{2}}{2}
=\frac{10000\sqrt{2}}{2}
=5000\sqrt{2}
$