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Popular >

simplify 8/(4-9i)

Solution

simplify

\frac{8}{4 - 9 i}

Solution

\frac{32}{97} + \frac{72}{97} i

Solution steps

\frac{8}{4 - 9 i}

Multiply by the conjugate

\frac{4 + 9 i}{4 + 9 i}

= \frac{8 ( 4 + 9 i )}{( 4 - 9 i ) ( 4 + 9 i )}

Simplify

\frac{8 ( 4 + 9 i )}{( 4 - 9 i ) ( 4 + 9 i )} : \frac{32 + 72 i}{97}

= \frac{32 + 72 i}{97}

Rewrite in standard complex form:

\frac{32}{97} + \frac{72}{97} i

= \frac{32}{97} + \frac{72}{97} i

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Frequently Asked Questions (FAQ)

What is 8/(4-9i) ?
The solution to 8/(4-9i) is 32/97+72/97 i