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Question

Find real values of x and y if
x13+i+y13i=i

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Solution

Find x & y if
x13+i+y13i=i
(x1)(3i)+(y1)(3+i)(3)2(i)2=i
3x+1xi3+3y+yi3i9+1=i
3x6+3y+(yx)i3x6+3y(yx10)i=10i
separating real & imagery part,
we get ,
3x6+3y=0
3x+3y=6
x+y=2....(1)
yx10=0
xy=10....(2)
(1)+(2)
2x=8
x=4,y=6sdn

1113844_1140253_ans_6eb4cd0d2af844e0a5f40c130d8248e0.jpeg

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