What is (2+14i)/(9+14i) ?

The solution to (2+14i)/(9+14i) is 214/277+98/277 i

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simplify (2+14i)/(9+14i)

simplify

\frac{2 + 14 i}{9 + 14 i}

\frac{214}{277} + \frac{98}{277} i

Solution steps

\frac{2 + 14 i}{9 + 14 i}

Multiply by the conjugate

\frac{9 - 14 i}{9 - 14 i}

= \frac{( 2 + 14 i ) ( 9 - 14 i )}{( 9 + 14 i ) ( 9 - 14 i )}

Simplify

\frac{( 2 + 14 i ) ( 9 - 14 i )}{( 9 + 14 i ) ( 9 - 14 i )} : \frac{214 + 98 i}{277}

= \frac{214 + 98 i}{277}

Rewrite in standard complex form:

\frac{214}{277} + \frac{98}{277} i

= \frac{214}{277} + \frac{98}{277} i

\frac{20}{80}

(- 1 + h)^{2}

x (x + y)

2 (2 x + 1)

\frac{x ^{2} - 25}{4 x + 20}