紧急!解方程3x²-6x -2(根号下x²-2x+4)+4=0
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紧急!解方程3x²-6x -2(根号下x²-2x+4)+4=0
紧急!解方程3x²-6x -2(根号下x²-2x+4)+4=0
紧急!解方程3x²-6x -2(根号下x²-2x+4)+4=0
令t=√(x²-2x+4)>=0
则x²-2x=t²-4
原方程化为:3(t²-4)-2t+4=0
3t²-2t-8=0
(3t+4)(t-2)=0
解之取非负值:t=2
故x²-2x=0
x(x-2)=0
x=0, 2
经检验,它们都是原方程的根。