20n^2-605=0

Solution for 20n^2-605=0 equation:

20n^2-605=0

a = 20; b = 0; c = -605;
Δ = b2-4ac
Δ = 02-4·20·(-605)
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-220}{2*20}=\frac{-220}{40}
=-5+1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+220}{2*20}=\frac{220}{40}
=5+1/2
$