X^2+x-10010000=0

Solution for X^2+x-10010000=0 equation:

X^2+X-10010000=0

a = 1; b = 1; c = -10010000;
Δ = b2-4ac
Δ = 12-4·1·(-10010000)
Δ = 40040001
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:

$\sqrt{\Delta}=\sqrt{40040001}=\sqrt{81*494321}=\sqrt{81}*\sqrt{494321}=9\sqrt{494321}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-9\sqrt{494321}}{2*1}=\frac{-1-9\sqrt{494321}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+9\sqrt{494321}}{2*1}=\frac{-1+9\sqrt{494321}}{2}
$