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(1)4(x-2)^2-(3x-1)^2=0 (2)x^2+5=2√5x (3)2x^2=7x-3^2 (4)4(x-1

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/07 14:49:40
(1)4(x-2)^2-(3x-1)^2=0 (2)x^2+5=2√5x (3)2x^2=7x-3^2 (4)4(x-1)^2=3(1-x)
(1)4(x-2)^2-(3x-1)^2=0
(2(x-2)+(3x-1))(2(x-2)-(3x-1))=0
(5x-5)(-x-3)=0
x=1 x=-3
(2)x^2+5=2√5x
x^2-2√5x+5=0
(x-√5)^2=0
x=√5
(3)2x^2=7x-3^2
2x^2-7x+9=0
(2x-9)(x+1)=0
x=9/2 x=-1
(4)4(x-1)^2=3(1-x)
4(x-1)^2-3(1-x)=0
4(x-1)^2+3(x-1)=0
(4x-4+3)(x-1)=0
x=1/4 x=1