24n^2-160-56=0

Solution for 24n^2-160-56=0 equation:

24n^2-160-56=0

We add all the numbers together, and all the variables

24n^2-216=0

a = 24; b = 0; c = -216;
Δ = b2-4ac
Δ = 02-4·24·(-216)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*24}=\frac{-144}{48}
=-3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*24}=\frac{144}{48}
=3
$