If $n$ is a positive integer and $2 n^{2} - n^{3} = 0$ , find the value of $n$ .

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Solution

The correct option is C $2$
$2 n^{2} - n^{3} = 0$

Taking $n^{2}$ common, $n^{2} (2 - n) = 0$
So, we get two equations

$n^{2} = 0$ and $2 - n = 0$
So $n = 0, 2$ but we know that $n$ is a positive integer so $" n = 0 "$ can not be possible so $" n = 2 "$ will be only possible value of $n$
Hence, option A is correct.

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