x*x=10000000

Solution for x*x=10000000 equation:

x*x=10000000

We move all terms to the left:

x*x-(10000000)=0

Wy multiply elements

x^2-10000000=0

a = 1; b = 0; c = -10000000;
Δ = b2-4ac
Δ = 02-4·1·(-10000000)
Δ = 40000000
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:

$\sqrt{\Delta}=\sqrt{40000000}=\sqrt{4000000*10}=\sqrt{4000000}*\sqrt{10}=2000\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2000\sqrt{10}}{2*1}=\frac{0-2000\sqrt{10}}{2}
=-\frac{2000\sqrt{10}}{2}
=-1000\sqrt{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2000\sqrt{10}}{2*1}=\frac{0+2000\sqrt{10}}{2}
=\frac{2000\sqrt{10}}{2}
=1000\sqrt{10}
$