If v = 3 + i and u = 2 - 5i, find the following in x + yi form.
1/v + 1/u
No, really. Although your previous post above was very helpful I'd like to see a complete worked out solution. Thank you.
And, just to show you that I attempted to solve the equation:
3 - i/((3 + i)(3 - i)) + 2 + 5i/(2 - 5i)(2 + 5i)
3 - i/ (10) + 2 + 5i/29
I am not even sure this is right (I know it's incomplete). The answer is supposed to be 107/(290) + 21/(290)i
bumping is against the rules.
i think what you are saying you have is $\displaystyle \frac {3 - i}{10} + \frac {2 + 5i}{29}$ (though that is not actually what you typed)
anyway, you are right so far. now just combine the real and imaginary parts. note that you have $\displaystyle \frac 3{10} - \frac i{10} + \frac 2{29} + \frac {5i}{29}$
now continue
It's very easy for us to write the complete worked out solution, but it will not be very helpful to you. That is why we try to give hints, so that you learn the thought process required for the problem.
You are on the right track...
Try to group all real parts together and imaginary parts together. But before that get a common denominator.
I will get you started:
$\displaystyle \frac{3 - i}{10} + \frac{2 + 5i}{29} = \frac{3 - i}{10}\times\frac{29}{29} + \frac{2 + 5i}{29}\times\frac{10}{10} = \frac{87 - 29i}{290} + \frac{20 + 50i}{290}
$
Now you are just one step away from the answer... What will you do next?
Good luck