3n^2-1n-10n-10=0

Solution for 3n^2-1n-10n-10=0 equation:

3n^2-1n-10n-10=0

We add all the numbers together, and all the variables

3n^2-11n-10=0

a = 3; b = -11; c = -10;
Δ = b2-4ac
Δ = -112-4·3·(-10)
Δ = 241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{241}}{2*3}=\frac{11-\sqrt{241}}{6}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{241}}{2*3}=\frac{11+\sqrt{241}}{6}
$