What is (2-3i)/(3+i) ?

The solution to (2-3i)/(3+i) is 3/10-11/10 i

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simplify (2-3i)/(3+i)

simplify

\frac{2 - 3 i}{3 + i}

\frac{3}{10} - \frac{11}{10} i

Solution steps

\frac{2 - 3 i}{3 + i}

Multiply by the conjugate

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

= \frac{( 2 - 3 i ) ( 3 - i )}{( 3 + i ) ( 3 - i )}

Simplify

\frac{( 2 - 3 i ) ( 3 - i )}{( 3 + i ) ( 3 - i )} : \frac{3 - 11 i}{10}

= \frac{3 - 11 i}{10}

Rewrite in standard complex form:

\frac{3}{10} - \frac{11}{10} i

= \frac{3}{10} - \frac{11}{10} i

∣ 4 (x - 1) + 6 ∣ \leq 10

15 x - 3 > 9 x + 15

\frac{21}{35} \times \frac{16}{24}

y, 4 x^{2} + 9 y^{2} = 0

- 28 t^{2} + 99 = - 26 t^{2} - 99