Complex no.

2007-07-10 12:01 am

By putting z=z+iy, find the complex number z which satisfies the equation

z+2z* = 15/2-i

where z* denotes the complex conjugate of z.

Thank you...

回答 (1)

2007-07-10 12:21 am

✔ 最佳答案

z=x+iy
z*=x-iy

z+2z* = 15/2-i

LHS=3x-iy
RHS=15(2+i)/[(2-i)(2+i)]=15(2+i)/(4+1)=6+3i

3x=6, x=2
-y=3, y=-3

z=2-3i

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