#Poisson Distribution question

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hasty star
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When calculating the possible values of λ here, you get root 25, so λ equals plus or minus 5.
As λ must be more than 0 since you can't have a negative number of events occurring, λ=5 only.
My question is what does that negative 5 mean/represent. Since it is a solution, albeit not a feasible one, it must have some abstract meaning, right?