解方程:(1)4x^2-4x+1=9 (2)x^2-6x+9=(5-2x)^2 (3)4(2x+1)^2=9(2x-1)
来源:学生作业帮 编辑:作业帮 分类:综合作业 时间:2024/09/02 02:18:59
解方程:(1)4x^2-4x+1=9 (2)x^2-6x+9=(5-2x)^2 (3)4(2x+1)^2=9(2x-1)^2
(1)4x^2-4x+1=9
4x^2-4x-8=0
x^2-x-2=0
(x+1)(x-2)=0
x=-1或x=2
(2)x^2-6x+9=(5-2x)^2
(x-3)^2=(5-2x)^2
x-3=5-2x或x-3=2x-5
x=8/3或x=2
(3)4(2x+1)^2=9(2x-1)^2
[2(2x+1)]^2=[3(2x-1)]^2
4x+2=6x-3或4x+2=3-6x
x=5/2或x=1/10
4x^2-4x-8=0
x^2-x-2=0
(x+1)(x-2)=0
x=-1或x=2
(2)x^2-6x+9=(5-2x)^2
(x-3)^2=(5-2x)^2
x-3=5-2x或x-3=2x-5
x=8/3或x=2
(3)4(2x+1)^2=9(2x-1)^2
[2(2x+1)]^2=[3(2x-1)]^2
4x+2=6x-3或4x+2=3-6x
x=5/2或x=1/10
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