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

\frac{( 4 + 5 i ) + 2 i ^{3}}{( 2 + i ) ^{2}}

x^{2} - 11 x = - 10

5 \cdot 35

s^{2} + s + 2 = 0

lo g_{10} (0.001)