100n^2-144=0

Solution for 100n^2-144=0 equation:

100n^2-144=0

a = 100; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·100·(-144)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*100}=\frac{-240}{200}
=-1+1/5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*100}=\frac{240}{200}
=1+1/5
$