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受欢迎的代数 >

-7|8x-5|+2=-16

解答

- 7 ∣ 8 x - 5 ∣ + 2 = - 16

解答

x = \frac{17}{56} or x = \frac{53}{56}

+1

十进制

x = 0.30357 \dots, x = 0.94642 \dots

求解步骤

- 7 ∣ 8 x - 5 ∣ + 2 = - 16

将

2

到右边

- 7 ∣ 8 x - 5 ∣ = - 18

两边除以

- 7

∣ 8 x - 5 ∣ = \frac{18}{7}

使用绝对值运算法则: 若

∣ u ∣ = a, a > 0

，则

u = a

or

u = - a

8 x - 5 = - \frac{18}{7} or 8 x - 5 = \frac{18}{7}

8 x - 5 = - \frac{18}{7} or 8 x - 5 = \frac{18}{7}

x = \frac{17}{56} or x = \frac{53}{56}

作图

流行的例子

∣ k - 9 ∣ = 4

∣ 2 \cdot x ∣ = x + 2

\frac{1}{2} x = 9

solvefor x,3-y=|x|

so l v e f or x, 3 - y = ∣ x ∣

solvefor x,f=|x-2|

so l v e f or x, f = ∣ x - 2 ∣