x2-35x-200=0

Solution for x2-35x-200=0 equation:

x2-35x-200=0

We add all the numbers together, and all the variables

x^2-35x-200=0

a = 1; b = -35; c = -200;
Δ = b2-4ac
Δ = -352-4·1·(-200)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-45}{2*1}=\frac{-10}{2}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+45}{2*1}=\frac{80}{2}
=40
$