Solve this problemmm of complex numberr

Dear Student|z| +z =2+iLet z=x+iy then|z| =x2+y2Substitute the valuesx2+y2+x+iy =2+iCompare the real and imaginary partwe get , y =1andx2+y2+x=2x2+12 +x =2x2+12  =2-xSquaring on both sidesx2+1 =4+x2-2x1=4-2x2x=3x =32Real part = 32Imaginary part = 1z= 32+iRegards

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