-13x^2+1170x-10400=0

Solution for -13x^2+1170x-10400=0 equation:

-13x^2+1170x-10400=0

a = -13; b = 1170; c = -10400;
Δ = b2-4ac
Δ = 11702-4·(-13)·(-10400)
Δ = 828100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{828100}=910$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1170)-910}{2*-13}=\frac{-2080}{-26}
=+80
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1170)+910}{2*-13}=\frac{-260}{-26}
=+10
$