化简 (6i)/(9-8i)

解答

化简

\frac{6 i}{9 - 8 i}

- \frac{48}{145} + \frac{54}{145} i

求解步骤

\frac{6 i}{9 - 8 i}

乘以共轭根式

\frac{9 + 8 i}{9 + 8 i}

= \frac{6 i ( 9 + 8 i )}{( 9 - 8 i ) ( 9 + 8 i )}

化简

\frac{6 i ( 9 + 8 i )}{( 9 - 8 i ) ( 9 + 8 i )} : \frac{54 i - 48}{145}

= \frac{54 i - 48}{145}

Rewrite in standard complex form:

- \frac{48}{145} + \frac{54}{145} i

= - \frac{48}{145} + \frac{54}{145} i

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