What is (15+29i)/(9+i) ?

The solution to (15+29i)/(9+i) is 2+3i

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simplify (15+29i)/(9+i)

simplify

\frac{15 + 29 i}{9 + i}

2 + 3 i

Solution steps

\frac{15 + 29 i}{9 + i}

Multiply by the conjugate

\frac{9 - i}{9 - i}

= \frac{( 15 + 29 i ) ( 9 - i )}{( 9 + i ) ( 9 - i )}

Simplify

\frac{( 15 + 29 i ) ( 9 - i )}{( 9 + i ) ( 9 - i )} : \frac{164 + 246 i}{82}

= \frac{164 + 246 i}{82}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{164}{82} + \frac{246}{82} i

Simplify

\frac{164}{82} + \frac{246}{82} i : 2 + 3 i

= 2 + 3 i

2 \frac{1}{4} \div \frac{3}{4}

x^{4} - x^{2} - 20

\frac{- 1 + 8 i}{- 7 + 7 i}

52 x^{4}

lo g_{7} (7^{2})