X^2+x-1722=0

Solution for X^2+x-1722=0 equation:

X^2+X-1722=0

a = 1; b = 1; c = -1722;
Δ = b2-4ac
Δ = 12-4·1·(-1722)
Δ = 6889
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6889}=83$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-83}{2*1}=\frac{-84}{2}
=-42
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+83}{2*1}=\frac{82}{2}
=41
$