n^2-3n-208=0

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Solution for n^2-3n-208=0 equation:



n^2-3n-208=0
a = 1; b = -3; c = -208;
Δ = b2-4ac
Δ = -32-4·1·(-208)
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-29}{2*1}=\frac{-26}{2} =-13 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+29}{2*1}=\frac{32}{2} =16 $

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