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Popular >

simplify (7-i)/(4+3i)

Solution

simplify

\frac{7 - i}{4 + 3 i}

Solution

1 - i

Solution steps

\frac{7 - i}{4 + 3 i}

Multiply by the conjugate

\frac{4 - 3 i}{4 - 3 i}

= \frac{( 7 - i ) ( 4 - 3 i )}{( 4 + 3 i ) ( 4 - 3 i )}

Simplify

\frac{( 7 - i ) ( 4 - 3 i )}{( 4 + 3 i ) ( 4 - 3 i )} : \frac{25 - 25 i}{25}

= \frac{25 - 25 i}{25}

Apply the fraction rule:

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

= \frac{25}{25} + \frac{- 25}{25} i

Simplify

\frac{25}{25} + \frac{- 25}{25} i : 1 - i

= 1 - i

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Frequently Asked Questions (FAQ)

What is (7-i)/(4+3i) ?
The solution to (7-i)/(4+3i) is 1-i