-x2+-116x+1600=0

Solution for -x2+-116x+1600=0 equation:

-x2+-116x+1600=0

We add all the numbers together, and all the variables

-1x^2-116x=0

a = -1; b = -116; c = 0;
Δ = b2-4ac
Δ = -1162-4·(-1)·0
Δ = 13456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13456}=116$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-116)-116}{2*-1}=\frac{0}{-2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-116)+116}{2*-1}=\frac{232}{-2}
=-116
$