Hitunglah x dan y jika (x + iy)2 = 2i

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Hitunglah x dan y jika (x + iy)2 = 2i

(x + iy)² = 2i
x² + 2iyx + i²y² = 2i
x² + 2iyx – 2i + i² y² = 0
x² +2i(yx – 1) +i²y² = 0
x² +2i(yx – 1) +(-1)y² = 0
x² +2i(yx – 1) – y² = 0
x² – y² = -2i(yx – 1)

(×+iy)2=2i
× =2i-3y
= -y

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