448n^2-175=0

Solution for 448n^2-175=0 equation:

448n^2-175=0

a = 448; b = 0; c = -175;
Δ = b2-4ac
Δ = 02-4·448·(-175)
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*448}=\frac{-560}{896}
=-5/8
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+560}{2*448}=\frac{560}{896}
=5/8
$