x^2+x-30800=0

Solution for x^2+x-30800=0 equation:

x^2+x-30800=0

a = 1; b = 1; c = -30800;
Δ = b2-4ac
Δ = 12-4·1·(-30800)
Δ = 123201
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{123201}=351$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-351}{2*1}=\frac{-352}{2}
=-176
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+351}{2*1}=\frac{350}{2}
=175
$