20n2-60n+1=0

Solution for 20n2-60n+1=0 equation:

20n^2-60n+1=0

a = 20; b = -60; c = +1;
Δ = b2-4ac
Δ = -602-4·20·1
Δ = 3520
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3520}=\sqrt{64*55}=\sqrt{64}*\sqrt{55}=8\sqrt{55}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-8\sqrt{55}}{2*20}=\frac{60-8\sqrt{55}}{40}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+8\sqrt{55}}{2*20}=\frac{60+8\sqrt{55}}{40}
$