What is (-7+19i)/(4-5i) ?

The solution to (-7+19i)/(4-5i) is -3+i

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simplify (-7+19i)/(4-5i)

simplify

\frac{- 7 + 19 i}{4 - 5 i}

- 3 + i

Solution steps

\frac{- 7 + 19 i}{4 - 5 i}

Multiply by the conjugate

\frac{4 + 5 i}{4 + 5 i}

= \frac{( - 7 + 19 i ) ( 4 + 5 i )}{( 4 - 5 i ) ( 4 + 5 i )}

Simplify

\frac{( - 7 + 19 i ) ( 4 + 5 i )}{( 4 - 5 i ) ( 4 + 5 i )} : \frac{- 123 + 41 i}{41}

= \frac{- 123 + 41 i}{41}

Apply the fraction rule:

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

= \frac{- 123}{41} + \frac{41}{41} i

Simplify

\frac{- 123}{41} + \frac{41}{41} i : - 3 + i

= - 3 + i

46 \cdot 6

- (x - 1)

(5 x^{2} - 5 x + 6) + (2 x^{2} - 7 x + 4) + (- 6 x^{2} + 10 x - 10)

lo g_{3} (27 + lo g_{3} (81))

s (s + 1) (s + 3)