4n^2+4.7n-3000=0

Solution for 4n^2+4.7n-3000=0 equation:

4n^2+4.7n-3000=0

a = 4; b = 4.7; c = -3000;
Δ = b2-4ac
Δ = 4.72-4·4·(-3000)
Δ = 48022.09
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{-(4.7)-\sqrt{48022.09}}{2*4}=\frac{-4.7-\sqrt{48022.09}}{8}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.7)+\sqrt{48022.09}}{2*4}=\frac{-4.7+\sqrt{48022.09}}{8}
$