Question

How do you solve `a^3 = 4a`?

Answer 1

`a=0` or `a=-2` or `a=2`

Explanation:

`a^3=4a`

`hArra^3-4a=0` or

`a(a^2-4)=0` or

`a(a^2-2^2)=0` or

`a(a+2)(a-2)=0`

Hence either `a=0` or `a+2=0` or `a-2=0` i.e.

`a=0` or `a=-2` or `a=2`