x2-33x-200=0

Solution for x2-33x-200=0 equation:

x2-33x-200=0

We add all the numbers together, and all the variables

x^2-33x-200=0

a = 1; b = -33; c = -200;
Δ = b2-4ac
Δ = -332-4·1·(-200)
Δ = 1889
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-\sqrt{1889}}{2*1}=\frac{33-\sqrt{1889}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+\sqrt{1889}}{2*1}=\frac{33+\sqrt{1889}}{2}
$