3n2-n-184=0

Solution for 3n2-n-184=0 equation:

3n^2-n-184=0

We add all the numbers together, and all the variables

3n^2-1n-184=0

a = 3; b = -1; c = -184;
Δ = b2-4ac
Δ = -12-4·3·(-184)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-47}{2*3}=\frac{-46}{6}
=-7+2/3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+47}{2*3}=\frac{48}{6}
=8
$