7n^2-29n-4676=0

Solution for 7n^2-29n-4676=0 equation:

7n^2-29n-4676=0

a = 7; b = -29; c = -4676;
Δ = b2-4ac
Δ = -292-4·7·(-4676)
Δ = 131769
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{131769}=363$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-363}{2*7}=\frac{-334}{14}
=-23+6/7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+363}{2*7}=\frac{392}{14}
=28
$