5y^2-56y-384=0

Solution for 5y^2-56y-384=0 equation:

5y^2-56y-384=0

a = 5; b = -56; c = -384;
Δ = b2-4ac
Δ = -562-4·5·(-384)
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-104}{2*5}=\frac{-48}{10}
=-4+4/5
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+104}{2*5}=\frac{160}{10}
=16
$