5500=2x*x

Solution for 5500=2x*x equation:

5500=2x*x

We move all terms to the left:

5500-(2x*x)=0

We add all the numbers together, and all the variables

-(+2x*x)+5500=0

We get rid of parentheses

-2x*x+5500=0

Wy multiply elements

-2x^2+5500=0

a = -2; b = 0; c = +5500;
Δ = b2-4ac
Δ = 02-4·(-2)·5500
Δ = 44000
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:

$\sqrt{\Delta}=\sqrt{44000}=\sqrt{400*110}=\sqrt{400}*\sqrt{110}=20\sqrt{110}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{110}}{2*-2}=\frac{0-20\sqrt{110}}{-4}
=-\frac{20\sqrt{110}}{-4}
=-\frac{5\sqrt{110}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{110}}{2*-2}=\frac{0+20\sqrt{110}}{-4}
=\frac{20\sqrt{110}}{-4}
=\frac{5\sqrt{110}}{-1}
$