x^2-98x-100=0

Solution for x^2-98x-100=0 equation:

x^2-98x-100=0

a = 1; b = -98; c = -100;
Δ = b2-4ac
Δ = -982-4·1·(-100)
Δ = 10004
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:

$\sqrt{\Delta}=\sqrt{10004}=\sqrt{4*2501}=\sqrt{4}*\sqrt{2501}=2\sqrt{2501}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-98)-2\sqrt{2501}}{2*1}=\frac{98-2\sqrt{2501}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-98)+2\sqrt{2501}}{2*1}=\frac{98+2\sqrt{2501}}{2}
$