100x^2-384x-64=0

Solution for 100x^2-384x-64=0 equation:

100x^2-384x-64=0

a = 100; b = -384; c = -64;
Δ = b2-4ac
Δ = -3842-4·100·(-64)
Δ = 173056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{173056}=416$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-384)-416}{2*100}=\frac{-32}{200}
=-4/25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-384)+416}{2*100}=\frac{800}{200}
=4
$