You can put this solution on YOUR website! .
solve the following equation for real numbers x and y.
(a).(3+4i)^2-2(x-iy)=x+iy
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(3+4i)^2-2(x-iy)=x+iy <==== is equivalent ====>
(3+4i)^2 = (x + iy) + 2*(x-iy) <==== is equivalent ====>
9 + 24i - 16 = 3x -iy <==== is equivalent ====>
-7 + 24i = 3x - iy <==== is equivalent ====>
to this system of two equations in two unknowns:
3x = -7
-y = 24.
SOLUTION: x = -7/3, y = 24.
All you need to know to solve the problem is THIS:
two complex numbers are equal if and only if their real parts are equal AND their imaginary parts are equal.
