10n^2-97n-30=0

Solution for 10n^2-97n-30=0 equation:

10n^2-97n-30=0

a = 10; b = -97; c = -30;
Δ = b2-4ac
Δ = -972-4·10·(-30)
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{-(-97)-103}{2*10}=\frac{-6}{20}
=-3/10
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-97)+103}{2*10}=\frac{200}{20}
=10
$