Question

Perform the indicated operations. Write the answer in standard form, a+bi.
5 - 3i / -2-9

Answer 1

`(5 - 3i)/( - 2 - 9) \\ = ( 5 - 3i)/( - 11) \\ = (5)/( - 11) + (3i)/(11) \\ thank \: you`

Answer 2

`\huge \boxed{\mathfrak{Answer} \downarrow}`

`\large \bf\frac { 5 - 3 i } { - 2 - 9 } \\`

Subtract 9 from -2 to get -11.

`\large \bf \: Re((5-3i)/(-11)) \\`

Divide 5-3i by -11 to get
`\sf-(5)/(11)+(3)/(11)i \\`.

`\large \bf \: Re(-(5)/(11)+(3)/(11)i) \\`

The real part of
`\sf-(5)/(11)+(3)/(11)i \\`is
`\sf-(5)/(11) \\`.

`\large \boxed{\bf-(5)/(11) \approx -0.4545..} \\`