(b) If x = 3 + 2i , then prove that x4 – 4x3 + 4x2 + 8x + 39 = 0
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Answer:
Step-by-step explanation:
x=3+2i
x-3=2i
(x-3)²=-4
x²-6x+13 =0
X^4-4x³+4x²+8x+39
=x²(x²-6x+13)+2x(x²-6x+13)+3(x²-6x+13)
=x²(0)+2x(0)+3(0)
=0
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