n*n=281474976710656

Solution for n*n=281474976710656 equation:

n*n=281474976710656

We move all terms to the left:

n*n-(281474976710656)=0

Wy multiply elements

n^2-281474976710656=0

a = 1; b = 0; c = -281474976710656;
Δ = b2-4ac
Δ = 02-4·1·(-281474976710656)
Δ = 1125899906842624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1125899906842624}=33554432$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-33554432}{2*1}=\frac{-33554432}{2}
=-16777216
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+33554432}{2*1}=\frac{33554432}{2}
=16777216
$