2,7n^2=1024n

Solution for 2,7n^2=1024n equation:

2.7n^2=1024n

We move all terms to the left:

2.7n^2-(1024n)=0

a = 2.7; b = -1024; c = 0;
Δ = b2-4ac
Δ = -10242-4·2.7·0
Δ = 1048576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1048576}=1024$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1024)-1024}{2*2.7}=\frac{0}{5.4}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1024)+1024}{2*2.7}=\frac{2048}{5.4}
=379+1/3.85714285714
$