n^2-7n-324=0

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Solution for n^2-7n-324=0 equation:



n^2-7n-324=0
a = 1; b = -7; c = -324;
Δ = b2-4ac
Δ = -72-4·1·(-324)
Δ = 1345
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{-(-7)-\sqrt{1345}}{2*1}=\frac{7-\sqrt{1345}}{2} $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{1345}}{2*1}=\frac{7+\sqrt{1345}}{2} $

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