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

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

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

simplify

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

\frac{2}{3} - i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 5 - i ) ( 3 - 3 i )}{( 3 + 3 i ) ( 3 - 3 i )} : \frac{12 - 18 i}{18}

= \frac{12 - 18 i}{18}

Apply the fraction rule:

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

= \frac{12}{18} + \frac{- 18}{18} i

Simplify

\frac{12}{18} + \frac{- 18}{18} i : \frac{2}{3} - i

= \frac{2}{3} - i

2 a^{2} + 11 a + 3 = 2 a

312

x^{2} - 175 = 0

3 c^{2} - 14 c + 8

\frac{x ^{2} - 1}{y ^{2} - 1}