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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