8n^2-56n+66=0

Solution for 8n^2-56n+66=0 equation:

8n^2-56n+66=0

a = 8; b = -56; c = +66;
Δ = b2-4ac
Δ = -562-4·8·66
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-32}{2*8}=\frac{24}{16}
=1+1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+32}{2*8}=\frac{88}{16}
=5+1/2
$