3n2-11n-874=0

Solution for 3n2-11n-874=0 equation:

3n^2-11n-874=0

a = 3; b = -11; c = -874;
Δ = b2-4ac
Δ = -112-4·3·(-874)
Δ = 10609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10609}=103$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-103}{2*3}=\frac{-92}{6}
=-15+1/3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+103}{2*3}=\frac{114}{6}
=19
$