find the critical numbers of the function: factor a term out: I see the 0 and 4, but the solution guide says there is also a critical number at .
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(x-4) is a common factor so take it out the front too to get: x^(-1/5)(x-4)[(4/5)(x-4)+2x] Last bracket becomes (4/5)x-16/5+2x Set this =0 and solve to get the third solution.
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