d^2=2880

Solution for d^2=2880 equation:

d^2=2880

We move all terms to the left:

d^2-(2880)=0

a = 1; b = 0; c = -2880;
Δ = b2-4ac
Δ = 02-4·1·(-2880)
Δ = 11520
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{11520}=\sqrt{2304*5}=\sqrt{2304}*\sqrt{5}=48\sqrt{5}$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{5}}{2*1}=\frac{0-48\sqrt{5}}{2}
=-\frac{48\sqrt{5}}{2}
=-24\sqrt{5}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{5}}{2*1}=\frac{0+48\sqrt{5}}{2}
=\frac{48\sqrt{5}}{2}
=24\sqrt{5}
$