5x*11x=20000

Solution for 5x*11x=20000 equation:

5x*11x=20000

We move all terms to the left:

5x*11x-(20000)=0

Wy multiply elements

55x^2-20000=0

a = 55; b = 0; c = -20000;
Δ = b2-4ac
Δ = 02-4·55·(-20000)
Δ = 4400000
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:

$\sqrt{\Delta}=\sqrt{4400000}=\sqrt{40000*110}=\sqrt{40000}*\sqrt{110}=200\sqrt{110}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{110}}{2*55}=\frac{0-200\sqrt{110}}{110}
=-\frac{200\sqrt{110}}{110}
=-\frac{20\sqrt{110}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{110}}{2*55}=\frac{0+200\sqrt{110}}{110}
=\frac{200\sqrt{110}}{110}
=\frac{20\sqrt{110}}{11}
$