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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

AI Generated Solution

To find the number of real roots of the equation \( x^3 - 6x + 9 = 0 \), we can follow these steps: ### Step 1: Define the function Let \( f(x) = x^3 - 6x + 9 \). ### Step 2: Find the derivative To analyze the behavior of the function, we first find the derivative: \[ ...
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