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if you know your roots

Algebra Level pending

assume that p is a real number . in order for \sqrt [ 3 ]{ x+3p+1 } \quad +\sqrt [ 3 ]{ x } =1 to have real solutions,it is necessary that

p>=1/3 p>=-1/3 p>=-1/4 p>=1/4

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by Abbaas Alif

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