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If the coefficient of x in (x^2 +k/x)^5...

If the coefficient of x in `(x^2 +k/x)^5` is 270, then k=

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The coefficient of `x` in the given expansion where `x` occurs at the `(r+1)` th term.
We have
`\ ^{5} C_{r}(x^{2})^{5-r}(frac{k}{x})^{r} `
`=\ ^{5} C_{r} k^{r} x^{10-2 r-r}`
...
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