X^2-98x-200=0

Solution for X^2-98x-200=0 equation:

X^2-98X-200=0

a = 1; b = -98; c = -200;
Δ = b2-4ac
Δ = -982-4·1·(-200)
Δ = 10404
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10404}=102$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-98)-102}{2*1}=\frac{-4}{2}
=-2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-98)+102}{2*1}=\frac{200}{2}
=100
$