6x^2-5x-1000=0

Solution for 6x^2-5x-1000=0 equation:

6x^2-5x-1000=0

a = 6; b = -5; c = -1000;
Δ = b2-4ac
Δ = -52-4·6·(-1000)
Δ = 24025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24025}=155$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-155}{2*6}=\frac{-150}{12}
=-12+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+155}{2*6}=\frac{160}{12}
=13+1/3
$