x^2-78x-160=0

Solution for x^2-78x-160=0 equation:

x^2-78x-160=0

a = 1; b = -78; c = -160;
Δ = b2-4ac
Δ = -782-4·1·(-160)
Δ = 6724
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6724}=82$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-78)-82}{2*1}=\frac{-4}{2}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78)+82}{2*1}=\frac{160}{2}
=80
$