数字的绝对值以| a |的形式表示。此值或数字表示数字线上a和0之间的距离。绝对值方程式是包含绝对值表达式的方程式。绝对值的公式在下面提及。绝对值不平等有两种形式。一个小于| a | <b,另一个大于| a |> b。它们的解决方法不同。
| x | = a
解决的例子
问题1: 2的值是多少?5x – 1 | 如果x = – 2?
解:
解:
2 | 5x – 1 | = 2 | 5(-2)– 1 |
2 | 5x – 1 | = 2 | -10 – 1 |
2 | 5x – 1 | = 2 | -11 |
2 | 5x – 1 | = 2 | 11 |
2 | 5x – 1 | = 22
2 | 5x – 1 | = 2 | -10 – 1 |
2 | 5x – 1 | = 2 | -11 |
2 | 5x – 1 | = 2 | 11 |
2 | 5x – 1 | = 22
问题2:解决4 | x – 2 | = 16
解决方案:
4 | x – 2 | = 16
| x – 2 | =164
| x – 2 | = 4
x – 2 = 4或x – 2 = – 4
x = 4 + 2或x = – 4 + 2
x = 6或– 2
解决方案:
4 | x – 2 | = 16
| x – 2 | =
| x – 2 | = 4
x – 2 = 4或x – 2 = – 4
x = 4 + 2或x = – 4 + 2
x = 6或– 2
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