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Suppose the cubic x^3-px+q has three rea...

Suppose the cubic `x^3-px+q` has three real roots where `pgt0` and `qgt0` . Then which one of the following holds ?

A

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

B

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

C

The cubis has minimum at `sqrt(p/3)` and `-sqrt(p/3)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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