-x^2+210x-3800=0

Solution for -x^2+210x-3800=0 equation:

-x^2+210x-3800=0

We add all the numbers together, and all the variables

-1x^2+210x-3800=0

a = -1; b = 210; c = -3800;
Δ = b2-4ac
Δ = 2102-4·(-1)·(-3800)
Δ = 28900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28900}=170$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(210)-170}{2*-1}=\frac{-380}{-2}
=+190
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(210)+170}{2*-1}=\frac{-40}{-2}
=+20
$