What is (4+3i)/(-10+i) ?

The solution to (4+3i)/(-10+i) is -37/101-34/101 i

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simplify (4+3i)/(-10+i)

simplify

\frac{4 + 3 i}{- 10 + i}

- \frac{37}{101} - \frac{34}{101} i

Solution steps

\frac{4 + 3 i}{- 10 + i}

Multiply by the conjugate

\frac{- 10 - i}{- 10 - i}

= \frac{( 4 + 3 i ) ( - 10 - i )}{( - 10 + i ) ( - 10 - i )}

Simplify

\frac{( 4 + 3 i ) ( - 10 - i )}{( - 10 + i ) ( - 10 - i )} : \frac{- 37 - 34 i}{101}

= \frac{- 37 - 34 i}{101}

Apply the fraction rule:

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

= \frac{- 37}{101} + \frac{- 34}{101} i

Simplify

\frac{- 37}{101} + \frac{- 34}{101} i : - \frac{37}{101} - \frac{34}{101} i

= - \frac{37}{101} - \frac{34}{101} i

(5 a - 7 b) (a + 3 b)

(x^{2} - 3)^{2} - 3

\frac{4 x ^{2}}{x ^{2}}

(5 x - x^{2} + 3) + (12 - 7 x - 9 x^{2})

(- 10 + 4 i) + (- 4 - 9 i)