392n^2-200=0

Solution for 392n^2-200=0 equation:

392n^2-200=0

a = 392; b = 0; c = -200;
Δ = b2-4ac
Δ = 02-4·392·(-200)
Δ = 313600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{313600}=560$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-560}{2*392}=\frac{-560}{784}
=-5/7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+560}{2*392}=\frac{560}{784}
=5/7
$