5n^2-3n-530=0

Solution for 5n^2-3n-530=0 equation:

5n^2-3n-530=0

a = 5; b = -3; c = -530;
Δ = b2-4ac
Δ = -32-4·5·(-530)
Δ = 10609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10609}=103$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-103}{2*5}=\frac{-100}{10}
=-10
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+103}{2*5}=\frac{106}{10}
=10+3/5
$