5n^2+17n-900=0

Solution for 5n^2+17n-900=0 equation:

5n^2+17n-900=0

a = 5; b = 17; c = -900;
Δ = b2-4ac
Δ = 172-4·5·(-900)
Δ = 18289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-\sqrt{18289}}{2*5}=\frac{-17-\sqrt{18289}}{10}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{18289}}{2*5}=\frac{-17+\sqrt{18289}}{10}
$