-12x^2-260x+1000=0

Solution for -12x^2-260x+1000=0 equation:

-12x^2-260x+1000=0

a = -12; b = -260; c = +1000;
Δ = b2-4ac
Δ = -2602-4·(-12)·1000
Δ = 115600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{115600}=340$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-260)-340}{2*-12}=\frac{-80}{-24}
=3+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-260)+340}{2*-12}=\frac{600}{-24}
=-25
$