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The number of real root of the equal x^(...

The number of real root of the equal `x^(3) -6x +9 = 0 ` is `:`

A

3

B

2

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Given, `x^(3)-6x+9=0`
`rArr" "(+3)(x^(2)-3x+3)=0" "rArr" "x=-3 or x^(2)-3x+3=0`
`"Now, Discriminant, "D=sqrt(9-4xx3)=sqrt(-3)" imaginary"`
Hence, real roots of the given equation is `-3`.
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