dp/dt = −p^2 + αp −10α/3

where p is the number of frogs at time t years, and α is a positive constant.

(a) Determine the equilibrium solutions.

>> after letting dp/dt =0, do i use the formula x=(-b +/- ((b^2-4ac)^0.5)/2a) to find the equilibrium solution of p in terms of α? If not how else should i solve it?

(b) For what values of α does the population model have one, two or no equilibrium solutions?

>> i have totally no idea how to approach this question.

Much help appreciated

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