What is (3-4i)/(3+4i) ?

The solution to (3-4i)/(3+4i) is -7/25-24/25 i

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

simplify

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

- \frac{7}{25} - \frac{24}{25} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 3 - 4 i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )} : \frac{- 24 i - 7}{25}

= \frac{- 24 i - 7}{25}

Rewrite in standard complex form:

- \frac{7}{25} - \frac{24}{25} i

= - \frac{7}{25} - \frac{24}{25} i

(5 + - 2)^{2}

a p^{2} (- a^{2} p^{3})^{2}

2 g - \frac{3}{5} (20 - 3 g) + 12

(- 1) - (- 5)

x + 1 - 1 \cdot x + 1 + 1