25(x-1)²=16(x-2)²怎么解?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/29 21:21:16
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25(x-1)²=16(x-2)²怎么解?
25(x-1)²=16(x-2)²怎么解?
25(x-1)²=16(x-2)²怎么解?
25(x-1)²=16(x-2)²
(5x-5)²=(4x-8)²
(5x-5)²-(4x-8)²=0
(5x-5+4x-8)(5x-5-4x+8)=0
(9x-13)(x+3)=0
x1=13/9 x2=-3
(x-1)²/(x-2)²=16/25,则x-1/x-2=4/5或者-4/5,分别解得x=3或者13/9