x^2-1720x-13824=0

Solution for x^2-1720x-13824=0 equation:

x^2-1720x-13824=0

a = 1; b = -1720; c = -13824;
Δ = b2-4ac
Δ = -17202-4·1·(-13824)
Δ = 3013696
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3013696}=1736$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1720)-1736}{2*1}=\frac{-16}{2}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1720)+1736}{2*1}=\frac{3456}{2}
=1728
$