What is (6+2i)/(6-3i) ?

The solution to (6+2i)/(6-3i) is 2/3+2/3 i

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simplify (6+2i)/(6-3i)

simplify

\frac{6 + 2 i}{6 - 3 i}

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

Solution steps

\frac{6 + 2 i}{6 - 3 i}

Multiply by the conjugate

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

= \frac{( 6 + 2 i ) ( 6 + 3 i )}{( 6 - 3 i ) ( 6 + 3 i )}

Simplify

\frac{( 6 + 2 i ) ( 6 + 3 i )}{( 6 - 3 i ) ( 6 + 3 i )} : \frac{30 + 30 i}{45}

= \frac{30 + 30 i}{45}

Apply the fraction rule:

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

= \frac{30}{45} + \frac{30}{45} i

Simplify

\frac{30}{45} + \frac{30}{45} i : \frac{2}{3} + \frac{2}{3} i

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

121 - 49 x^{2}

1.2 \div \frac{1}{\frac{1}{1.2}}

\frac{9 x}{2} - \frac{2 x}{9}

\frac{38}{9}

\frac{2 x ^{7} y ^{3}}{x ^{6} y ^{5}}