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Suppose the cubic x^(3)-px+q has three d...

Suppose the cubic `x^(3)-px+q` has three distinct real roots, where `pgt0` and `qgt0`. Then find the max and min points .

A

The cubic has maxima at both `sqrt(P/3) and -sqrt(P/3)`

B

The cubic has minima at and maxima at `sqrt(p/3)" and maxima at"-sqrt(p/3)`

C

The cubic has minima at and maxima at `-sqrt(p/3)" and maxima at"sqrt(p/3)`

D

The cubic has minima at both `sqrt(p/3) and -sqrt(p/3)`

Text Solution

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The correct Answer is:
B
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