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Popular >

simplify (13)/(2-3i)

Solution

simplify

\frac{13}{2 - 3 i}

Solution

2 + 3 i

Solution steps

\frac{13}{2 - 3 i}

Multiply by the conjugate

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

= \frac{13 ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )}

Simplify

\frac{13 ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )} : \frac{26 + 39 i}{13}

= \frac{26 + 39 i}{13}

Apply the fraction rule:

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

= \frac{26}{13} + \frac{39}{13} i

Simplify

\frac{26}{13} + \frac{39}{13} i : 2 + 3 i

= 2 + 3 i

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Frequently Asked Questions (FAQ)

What is (13)/(2-3i) ?
The solution to (13)/(2-3i) is 2+3i