4x^2-16,384=0

Solution for 4x^2-16,384=0 equation:

4x^2-16.384=0

a = 4; b = 0; c = -16.384;
Δ = b2-4ac
Δ = 02-4·4·(-16.384)
Δ = 262.144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{262.144}}{2*4}=\frac{0-\sqrt{262.144}}{8}
=-\frac{\sqrt{}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{262.144}}{2*4}=\frac{0+\sqrt{262.144}}{8}
=\frac{\sqrt{}}{8}
$