3x^2-170x-1000=0

Solution for 3x^2-170x-1000=0 equation:

3x^2-170x-1000=0

a = 3; b = -170; c = -1000;
Δ = b2-4ac
Δ = -1702-4·3·(-1000)
Δ = 40900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{40900}=\sqrt{100*409}=\sqrt{100}*\sqrt{409}=10\sqrt{409}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-170)-10\sqrt{409}}{2*3}=\frac{170-10\sqrt{409}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+10\sqrt{409}}{2*3}=\frac{170+10\sqrt{409}}{6}
$