What is ((6+2i))/(3+2i) ?

The solution to ((6+2i))/(3+2i) is 22/13-6/13 i

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simplify ((6+2i))/(3+2i)

simplify

\frac{( 6 + 2 i )}{3 + 2 i}

\frac{22}{13} - \frac{6}{13} i

Solution steps

\frac{6 + 2 i}{3 + 2 i}

Multiply by the conjugate

\frac{3 - 2 i}{3 - 2 i}

= \frac{( 6 + 2 i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )}

Simplify

\frac{( 6 + 2 i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )} : \frac{22 - 6 i}{13}

= \frac{22 - 6 i}{13}

Rewrite in standard complex form:

\frac{22}{13} - \frac{6}{13} i

= \frac{22}{13} - \frac{6}{13} i

2 x^{2} - 10 x + 4 = 0

\frac{( x ^{- 1} + y ^{- 1} )}{2 x ^{- 1}}

2 x^{2} + 10 x = 28

(26 + 8) (26 - 8)