x^2+8x-1600=0

Solution for x^2+8x-1600=0 equation:

x^2+8x-1600=0

a = 1; b = 8; c = -1600;
Δ = b2-4ac
Δ = 82-4·1·(-1600)
Δ = 6464
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6464}=\sqrt{64*101}=\sqrt{64}*\sqrt{101}=8\sqrt{101}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8\sqrt{101}}{2*1}=\frac{-8-8\sqrt{101}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8\sqrt{101}}{2*1}=\frac{-8+8\sqrt{101}}{2}
$