15n2+137n-8740=0

Solution for 15n2+137n-8740=0 equation:

15n^2+137n-8740=0

a = 15; b = 137; c = -8740;
Δ = b2-4ac
Δ = 1372-4·15·(-8740)
Δ = 543169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{543169}=737$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(137)-737}{2*15}=\frac{-874}{30}
=-29+2/15
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(137)+737}{2*15}=\frac{600}{30}
=20
$