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受欢迎的代数 >

3-7|x+2|=-38

解答

3 - 7 ∣ x + 2 ∣ = - 38

解答

x = - \frac{55}{7} or x = \frac{27}{7}

+1

十进制

x = - 7.85714 \dots, x = 3.85714 \dots

求解步骤

3 - 7 ∣ x + 2 ∣ = - 38

将

3

到右边

- 7 ∣ x + 2 ∣ = - 41

两边除以

- 7

∣ x + 2 ∣ = \frac{41}{7}

使用绝对值运算法则: 若

∣ u ∣ = a, a > 0

，则

u = a

or

u = - a

x + 2 = - \frac{41}{7} or x + 2 = \frac{41}{7}

x + 2 = - \frac{41}{7} or x + 2 = \frac{41}{7}

x = - \frac{55}{7} or x = \frac{27}{7}

作图

流行的例子

∣ x - 2 ∣ + ∣ 2 x + 3 ∣ = 5

∣ 6 x - 5 ∣ = - 4 x

2 - ∣ m ∣ = - 2

∣ 5 - 8 x ∣ = 11

|16g-40|=-4|4g-10|

∣ 16 g - 40 ∣ = - 4 ∣ 4 g - 10 ∣