SOLUTION: how can i solved this problem? 1. find the value of x and y in: x+(y-6)i=5+9i 2. find the two square roots of -i can you send me as soon as possible the answer? with the

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: how can i solved this problem? 1. find the value of x and y in: x+(y-6)i=5+9i 2. find the two square roots of -i can you send me as soon as possible the answer? with the       Log On


   



Question 599005: how can i solved this problem?
1. find the value of x and y in:
x+(y-6)i=5+9i
2. find the two square roots of -i
can you send me as soon as possible the answer?
with the solution..
please..thank you!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1. find the value of x and y in:
x+(y-6)i=5+9i
The real parts are equal x = 5
----
y-6 = 9
===========
2. find the two square roots of -i
r = 1
Angle t = 270 degs
--> 1cis(270)
sqrt = 1cis(135) & 1cis(315)
1cis(135) = 1cos(135) + isin(135)
= %28sqrt%282%29%2F2%29%2A%28-1+%2B+i%29
= %28sqrt%282%29%2F2%29%2A%281+-+i%29