解方程x^2-(3-2i)x+5-5i=0

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解方程x^2-(3-2i)x+5-5i=0

解方程x^2-(3-2i)x+5-5i=0
解方程x^2-(3-2i)x+5-5i=0

解方程x^2-(3-2i)x+5-5i=0
设 x=a+bi
a^2-b^2+2abi-3a+(3b-2a)i+2b+5-5i=0
2ab+3b-2a=5 (1)
a^2-b^2-3a+2b=-5 (2)
a=2 b=-1
x=2-i

x=2-i

设 x=a+bi
a^2-b^2+2abi-3a+(3b-2a)i+2b+5-5i=0
a^2-b^2-3a+2b=-5
a=2 b=-1
x=2-i