Question

How would i Simplify 7+i / 2-2i
(Complex Numbers)

Answer 1

You have
7+i 2+2i
----- . -------
2-2i 2+2i

Answer 2

Then i would now just combine like terms and foil correct?

Answer 3

right and remember that i^2 = -1

Answer 4

ok Thakns!

Answer 5

Like when you multiply (2-2i)*(2+2i)
=4-4i^2 = 4-4(-1) = 4+4 = 8

Answer 6

ok after i have the step tht you just shown here, do i just keep simplifying it down?

Answer 7

Speaking with this in mind:
=4-4i^2=4-4(-1)=4+4=8
what is the next step

Answer 8

the step I did is the bottom part the top part as follows:
(7+i) *(2+2i)
14+14i+2i+2i^2
14 +16i +2(-1) = 16i + 14-2
16i+12

Answer 9

Now you have
16i + 12
--- ----
8 8

Answer 10

Now just simplify

Answer 11

16i + 12
---- ------
8 8
that wuld be divide each by 8 correct?

Answer 12

if so , after doing tht i got 8i + 1.5
does not seem correct

Answer 13

16/8 = 2, so it would be 2i+3/2

Answer 14

Thanks for the help :)

Answer 15

your welcome :)