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Popular >

simplify (4-i)/(3+i)

Solution

simplify

\frac{4 - i}{3 + i}

Solution

\frac{11}{10} - \frac{7}{10} i

Solution steps

\frac{4 - i}{3 + i}

Multiply by the conjugate

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

= \frac{( 4 - i ) ( 3 - i )}{( 3 + i ) ( 3 - i )}

Simplify

\frac{( 4 - i ) ( 3 - i )}{( 3 + i ) ( 3 - i )} : \frac{11 - 7 i}{10}

= \frac{11 - 7 i}{10}

Rewrite in standard complex form:

\frac{11}{10} - \frac{7}{10} i

= \frac{11}{10} - \frac{7}{10} i

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Frequently Asked Questions (FAQ)

What is (4-i)/(3+i) ?
The solution to (4-i)/(3+i) is 11/10-7/10 i