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Popular >

simplify 1/(5-12i)

Solution

simplify

\frac{1}{5 - 12 i}

Solution

\frac{5}{169} + \frac{12}{169} i

Solution steps

\frac{1}{5 - 12 i}

Multiply by the conjugate

\frac{5 + 12 i}{5 + 12 i}

= \frac{1 \cdot ( 5 + 12 i )}{( 5 - 12 i ) ( 5 + 12 i )}

Simplify

\frac{1 \cdot ( 5 + 12 i )}{( 5 - 12 i ) ( 5 + 12 i )} : \frac{5 + 12 i}{169}

= \frac{5 + 12 i}{169}

Rewrite in standard complex form:

\frac{5}{169} + \frac{12}{169} i

= \frac{5}{169} + \frac{12}{169} i

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Frequently Asked Questions (FAQ)

What is 1/(5-12i) ?
The solution to 1/(5-12i) is 5/169+12/169 i