X^2-850x-770000=0

Solution for X^2-850x-770000=0 equation:

X^2-850X-770000=0

a = 1; b = -850; c = -770000;
Δ = b2-4ac
Δ = -8502-4·1·(-770000)
Δ = 3802500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3802500}=1950$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-850)-1950}{2*1}=\frac{-1100}{2}
=-550
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-850)+1950}{2*1}=\frac{2800}{2}
=1400
$