# Find the number of values for m for which (m+i)^4 is an integer? i

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#i=sqrt(-1)#

##### 1 Answer

Nov 16, 2017

#### Explanation:

Using the Binomial Theorem, we have,

In order that **integer (real),** equating the **Real** and

**Imaginary parts** of both sides, we must have,

Now,

Hence, there are