n^2-25n-144=0

Solution for n^2-25n-144=0 equation:

n^2-25n-144=0

a = 1; b = -25; c = -144;
Δ = b2-4ac
Δ = -252-4·1·(-144)
Δ = 1201
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{-(-25)-\sqrt{1201}}{2*1}=\frac{25-\sqrt{1201}}{2}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{1201}}{2*1}=\frac{25+\sqrt{1201}}{2}
$