x^2+x-21756=0

Solution for x^2+x-21756=0 equation:

x^2+x-21756=0

a = 1; b = 1; c = -21756;
Δ = b2-4ac
Δ = 12-4·1·(-21756)
Δ = 87025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{87025}=295$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-295}{2*1}=\frac{-296}{2}
=-148
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+295}{2*1}=\frac{294}{2}
=147
$