What is ((5-i))/((3+2i)) ?

The solution to ((5-i))/((3+2i)) is 1-i

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simplify ((5-i))/((3+2i))

simplify

\frac{( 5 - i )}{( 3 + 2 i )}

1 - i

Solution steps

\frac{5 - i}{3 + 2 i}

Multiply by the conjugate

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

= \frac{( 5 - i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )}

Simplify

\frac{( 5 - i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )} : \frac{13 - 13 i}{13}

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

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{13}{13} + \frac{- 13}{13} i

Simplify

\frac{13}{13} + \frac{- 13}{13} i : 1 - i

= 1 - i

\frac{2 x ^{3} y ^{4} z ^{7}}{x ^{2} y ^{5} z ^{10}}

2 (b - 4) > - 6

1 + 4 (- 2 w + 1) \geq - 4 w + 2 + 6

6 a^{3} - 12 a^{2} + 14

x^{2} - 13 x + 42