What is (3+6i)/(6+i) ?

The solution to (3+6i)/(6+i) is 24/37+33/37 i

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simplify (3+6i)/(6+i)

simplify

\frac{3 + 6 i}{6 + i}

\frac{24}{37} + \frac{33}{37} i

Solution steps

\frac{3 + 6 i}{6 + i}

Multiply by the conjugate

\frac{6 - i}{6 - i}

= \frac{( 3 + 6 i ) ( 6 - i )}{( 6 + i ) ( 6 - i )}

Simplify

\frac{( 3 + 6 i ) ( 6 - i )}{( 6 + i ) ( 6 - i )} : \frac{24 + 33 i}{37}

= \frac{24 + 33 i}{37}

Rewrite in standard complex form:

\frac{24}{37} + \frac{33}{37} i

= \frac{24}{37} + \frac{33}{37} i

(x - \frac{5}{7})^{2} + (x - (- \frac{7}{6}))^{2} = (\frac{4}{49})^{2}

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\frac{x - 4}{x + 5} < 4

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