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Popular >

simplify (80i)/(3+i)

Solution

simplify

\frac{80 i}{3 + i}

Solution

8 + 24 i

Solution steps

\frac{80 i}{3 + i}

Multiply by the conjugate

\frac{3 - i}{3 - i}

= \frac{80 i ( 3 - i )}{( 3 + i ) ( 3 - i )}

Simplify

\frac{80 i ( 3 - i )}{( 3 + i ) ( 3 - i )} : \frac{240 i + 80}{10}

= \frac{240 i + 80}{10}

Rewrite in standard complex form:

8 + 24 i

= 8 + 24 i

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Frequently Asked Questions (FAQ)

What is (80i)/(3+i) ?
The solution to (80i)/(3+i) is 8+24i