7n^2-25n-50=0

Solution for 7n^2-25n-50=0 equation:

7n^2-25n-50=0

a = 7; b = -25; c = -50;
Δ = b2-4ac
Δ = -252-4·7·(-50)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-45}{2*7}=\frac{-20}{14}
=-1+3/7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+45}{2*7}=\frac{70}{14}
=5
$