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2(x-1)²-8=0 ,x²-8x-2=0,x²-6=7x,2x²-6x+1=

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/18 10:35:45
2(x-1)²-8=0 ,x²-8x-2=0,x²-6=7x,2x²-6x+1=0,3x²+8x-2=0.
2(x-1)²-8=0 ,
(x-1)²-4=0
(x-1-2)(x-1+2)=0
(x-3)(x+1)=0
x=3或x=-1
x²-8x-2=0,
x²-8x+16-16-2=0
(x-4)²-18=0
(x-4-3√2)(x-4+3√2)=0
x=4+3√2或x=4-3√2
x²-6=7x,
x²-7x-6=0
x²-7x+49/4-49/4-6=0
(x-7/2)²-73/4=0
(x-7/2)²-73/4=0
(x-7/2-√73/2)(x-7/2+√73/2)=0
x=7/2+√73/2或x=7/2-√73/2
2x²-6x+1=0
x²-3x+1/2=0
x²-3x+9/4-9/4+1/2=0
(x-3/2)²-7/4=0
(x-3/2-√7/2)(x-3/2+√7/2)=0
x=3/2+√7/2或x=3/2-√7/2
3x²+8x-2=0
x²+8x/3-2/3=0
x²+8x/3+16/9-16/9-2/3=0
(x+4/3)²-22/9=0
(x+4/3-√22/3)(x+4/3+√22/3)=0
x=-4/3+√22/3或x=-4/3-√22/3