x^2=16384

Solution for x^2=16384 equation:

x^2=16384

We move all terms to the left:

x^2-(16384)=0

a = 1; b = 0; c = -16384;
Δ = b2-4ac
Δ = 02-4·1·(-16384)
Δ = 65536
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{65536}=256$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-256}{2*1}=\frac{-256}{2}
=-128
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+256}{2*1}=\frac{256}{2}
=128
$