Expert: Paul Klarreich - 9/22/2009

Question
Determine the roots of the square root of 1-1,73j giving the results in the form rectangular and in exponential form
And
Solve for x and y if
1)2x+yj-3+4j=xj-3y

2)1-j  x    yj
  -j  -1   2
 1    1+2j 0
which is equal to j

Answer
Questioner: Lorato Lubidla
Country: South Africa
Category: Advanced Math
Private: Yes
Subject: complex numbers and binomail theorem
Question: Determine the roots of the square root of 1-1,73j giving the results in the form rectangular and in exponential form
And
Solve for x and y if
1)2x+yj-3+4j=xj-3y

2)1-j  x    yj
 -j  -1   2
1    1+2j 0
which is equal to j
..........................................
Sorry, but your notation makes it impossible to answer the first and last questions.  I just cannot tell what the question is.  However,

For:

Determine the roots of the square root of 1-1,73j giving the results in the form rectangular and in exponential form

Write:  (x + jy)^2 = <your number>

x^2 - y^2 + 2xyj = <your number>

Now set x^2 - y^2 = real part of <your number>
     2xy = <imaginary part>

OR ------------------

Write  r^2 cis (2 theta) = <your number in polar form>

Then r = sqrt(r of your number)
    theta = (theta of your number)/2

and work back.

...............................................

Solve for x and y if
1)2x+yj-3+4j=xj-3y

Equate real and imaginary parts:

2x - 3 = - 3y

y  + 4 = x

and solve.
..........................................
I cannot make out what the other one says.