问题标题:
x²-2(1+√2)x+2√2=03x(2x-1)=4x+2x²-2(1+√2)x+2√2=03x(2x-1)=4x+2
问题描述:

x²-2(1+√2)x+2√2=03x(2x-1)=4x+2

x²-2(1+√2)x+2√2=03x(2x-1)=4x+2

童建华回答:
  x²-2(1+√2)x+2√2=0   x²-2(1+√2)x+(1+√2)²=3   [x-(1+√2)]²=3   x-(1+√2)=±√3   x=1+√2±√3   3x(2x-1)=4x+2   6x²-3x-4x=2   6x²-7x=2   x²-7x/6=1/3   x²-7x/6+(7/12)²=1/3+49/144   (x-7/12)²=97/144   x-7/12=±(√97)/12   x=(7±√97)/12
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