解方程: 1. |x눀-10|>6 怎么解,初中知识都忘了,求详! 2. x눀-2x-8⼀2눀-9≧0

2025-02-12 04:44:54
推荐回答(4个)
回答1:

1、去绝对值 x²-10>6或x²-10<-6
移项 x²-10>6 得x²>16 得 x>4或 x<-4;
移项 x²-10<-6 得x²<4 得-2综合,得并集, x<-4或-24。
2、移项 x²-2x-8/2² ≧9
两边同乘9 x²-2x-8≧2² * 9
计算右侧 得 x²-2x-8≧36
两边同时加9得 x²-2x+1 ≧45
化成平方形式得 (x-1)^2 ≧45
两边同时开平方根,得绝对值形式 | x-1 | ≧平方根45
计算右侧得 | x-1 | ≧3*平方根5
化绝对值得 x-1 ≧ 或 x-1 ≤ - 3*平方根5 。
最后,得X ≧(3*平方根5)+1 或 x≤1-( 3*平方根5)。

回答2:

去绝对值 x²-10>6或x²-10<-6 得x>4或 x<-4或 -22. (x-1)^2≧? 再化成|x-1|≧根号?即可

回答3:

分两组:1、x2-10>6 x2>16 得x>4或x小于-4
2、x2-10小于-6 得-2小于x小于2

回答4:

1. |x²-10|>6
如果x²>10 x²-10>6 x²>16 x>±4
如果x²<10 10-x²>6 - x²>-4 x<±2
2.x²-2x-8/2²-9≧0
x²-2x-2-9≧0 x²-2x-11≥0 ( 8/2²这个看起来怪怪的。。)

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