18n^2-156n+210=0

Solution for 18n^2-156n+210=0 equation:

18n^2-156n+210=0

a = 18; b = -156; c = +210;
Δ = b2-4ac
Δ = -1562-4·18·210
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-156)-96}{2*18}=\frac{60}{36}
=1+2/3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-156)+96}{2*18}=\frac{252}{36}
=7
$