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Popular >

simplify 3i+1/(2-i)

Solution

simplify

3 i + \frac{1}{2 - i}

Solution

\frac{2}{5} + \frac{16}{5} i

Solution steps

3 i + \frac{1}{2 - i}

Simplify

\frac{1}{2 - i} : \frac{2 + i}{5}

= 3 i + \frac{2 + i}{5}

Join

3 i + \frac{2 + i}{5} : \frac{16 i + 2}{5}

= \frac{16 i + 2}{5}

Rewrite in standard complex form:

\frac{2}{5} + \frac{16}{5} i

= \frac{2}{5} + \frac{16}{5} i

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\frac{20}{1140} + \frac{24}{1140} + \frac{10}{1140}

Frequently Asked Questions (FAQ)

What is 3i+1/(2-i) ?
The solution to 3i+1/(2-i) is 2/5+16/5 i