(n)(n+8)=2900

Solution for (n)(n+8)=2900 equation:

(n)(n+8)=2900

We move all terms to the left:

(n)(n+8)-(2900)=0

We multiply parentheses

n^2+8n-2900=0

a = 1; b = 8; c = -2900;
Δ = b2-4ac
Δ = 82-4·1·(-2900)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-108}{2*1}=\frac{-116}{2}
=-58
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+108}{2*1}=\frac{100}{2}
=50
$