x2-200x-240000=0

Solution for x2-200x-240000=0 equation:

x2-200x-240000=0

We add all the numbers together, and all the variables

x^2-200x-240000=0

a = 1; b = -200; c = -240000;
Δ = b2-4ac
Δ = -2002-4·1·(-240000)
Δ = 1000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1000000}=1000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-200)-1000}{2*1}=\frac{-800}{2}
=-400
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-200)+1000}{2*1}=\frac{1200}{2}
=600
$