What is (4-i)/(4-5i) ?

The solution to (4-i)/(4-5i) is 21/41+16/41 i

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simplify (4-i)/(4-5i)

simplify

\frac{4 - i}{4 - 5 i}

\frac{21}{41} + \frac{16}{41} i

Solution steps

\frac{4 - i}{4 - 5 i}

Multiply by the conjugate

\frac{4 + 5 i}{4 + 5 i}

= \frac{( 4 - i ) ( 4 + 5 i )}{( 4 - 5 i ) ( 4 + 5 i )}

Simplify

\frac{( 4 - i ) ( 4 + 5 i )}{( 4 - 5 i ) ( 4 + 5 i )} : \frac{21 + 16 i}{41}

= \frac{21 + 16 i}{41}

Rewrite in standard complex form:

\frac{21}{41} + \frac{16}{41} i

= \frac{21}{41} + \frac{16}{41} i

63 a^{9} b^{8}

(7 + 3) (4 - 7)

(\frac{4}{7})^{- 3}

\frac{7 x - 1}{3} + \frac{x + 6}{3}

x^{2} - \frac{1}{4 x ^{2}}