10x^2-80x-3840=0

Solution for 10x^2-80x-3840=0 equation:

10x^2-80x-3840=0

a = 10; b = -80; c = -3840;
Δ = b2-4ac
Δ = -802-4·10·(-3840)
Δ = 160000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{160000}=400$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-400}{2*10}=\frac{-320}{20}
=-16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+400}{2*10}=\frac{480}{20}
=24
$