Maths / Cube and Cube Roots / Properties of Cubes of Numbers

QUESTION
 

The cube of a number X number is nine time of X , then find X , where x neq 0 and x neq  - 3.

OPTIONS
A. 

8

B. 

2

C. 

4

D. 

3

Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

It is given that, x^3 = 9x, x neq 0, x neq -3

Now, x^3 - 9x = 0 rightarrow x (x^2-9) = 0

rightarrow x^2 - n9 = 0 (because x neq 0) rightarrow x^2 = 9 rightarrow x = 3 or -3

But x neq -3 therefore x = 3

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