3x^2-70x-2000=0

Solution for 3x^2-70x-2000=0 equation:

3x^2-70x-2000=0

a = 3; b = -70; c = -2000;
Δ = b2-4ac
Δ = -702-4·3·(-2000)
Δ = 28900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28900}=170$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-170}{2*3}=\frac{-100}{6}
=-16+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+170}{2*3}=\frac{240}{6}
=40
$