2x*x=11000

Solution for 2x*x=11000 equation:

2x*x=11000

We move all terms to the left:

2x*x-(11000)=0

Wy multiply elements

2x^2-11000=0

a = 2; b = 0; c = -11000;
Δ = b2-4ac
Δ = 02-4·2·(-11000)
Δ = 88000
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:

$\sqrt{\Delta}=\sqrt{88000}=\sqrt{1600*55}=\sqrt{1600}*\sqrt{55}=40\sqrt{55}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{55}}{2*2}=\frac{0-40\sqrt{55}}{4}
=-\frac{40\sqrt{55}}{4}
=-10\sqrt{55}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{55}}{2*2}=\frac{0+40\sqrt{55}}{4}
=\frac{40\sqrt{55}}{4}
=10\sqrt{55}
$