5n^2+3n-1674=0

Solution for 5n^2+3n-1674=0 equation:

5n^2+3n-1674=0

a = 5; b = 3; c = -1674;
Δ = b2-4ac
Δ = 32-4·5·(-1674)
Δ = 33489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{33489}=183$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-183}{2*5}=\frac{-186}{10}
=-18+3/5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+183}{2*5}=\frac{180}{10}
=18
$