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Consider the cubic equation f(x)=x^(3)-n...

Consider the cubic equation `f(x)=x^(3)-nx+1=0` where `n ge3, n in N` then `f(x)=0` has

A

atleast one root in (0, 1)

B

atleast one root in (1, 2)

C

atleast one root in `(-1, 0)`

D

data insufficient

Text Solution

Verified by Experts

The correct Answer is:
A
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