What is (6-i)/(4+i) ?

The solution to (6-i)/(4+i) is 23/17-10/17 i

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simplify (6-i)/(4+i)

simplify

\frac{6 - i}{4 + i}

\frac{23}{17} - \frac{10}{17} i

Solution steps

\frac{6 - i}{4 + i}

Multiply by the conjugate

\frac{4 - i}{4 - i}

= \frac{( 6 - i ) ( 4 - i )}{( 4 + i ) ( 4 - i )}

Simplify

\frac{( 6 - i ) ( 4 - i )}{( 4 + i ) ( 4 - i )} : \frac{23 - 10 i}{17}

= \frac{23 - 10 i}{17}

Rewrite in standard complex form:

\frac{23}{17} - \frac{10}{17} i

= \frac{23}{17} - \frac{10}{17} i

t^{2} - 3 t - 88

4 c^{2} + 21 c + 5

2 \cdot 1 0^{- 5} x + 1 \cdot 1 0^{- 6} x^{2} + 5 \cdot 1 0^{5}

1 + 3 c \leq 10