Question

5/7-i is what answer

Answer 1

to solve this we need to multiply and divide by the complex conjugates, so:

`(5)/(7-i)\cdot(7+i)/(7+i)`

and now we solve it

`(5\cdot(7+i))/(7\cdot7+7i-7i-i\cdot i)`
`\begin{gathered} (35+5i)/(49+1) \\ (35)/(50)+(5)/(50)i \end{gathered}`

So the answer is:

`\begin{gathered} (7)/(10)+(1)/(10)i \\ or\text{ } \\ 0.7+0.1i \end{gathered}`