15n^2-16n-64=0

Solution for 15n^2-16n-64=0 equation:

15n^2-16n-64=0

a = 15; b = -16; c = -64;
Δ = b2-4ac
Δ = -162-4·15·(-64)
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-64}{2*15}=\frac{-48}{30}
=-1+3/5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+64}{2*15}=\frac{80}{30}
=2+2/3
$