n^2+25n+12=0

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Solution for n^2+25n+12=0 equation:



n^2+25n+12=0
a = 1; b = 25; c = +12;
Δ = b2-4ac
Δ = 252-4·1·12
Δ = 577
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{577}}{2*1}=\frac{-25-\sqrt{577}}{2} $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+\sqrt{577}}{2*1}=\frac{-25+\sqrt{577}}{2} $

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