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受欢迎的代数 >

3|2(x+4)(x-2)|-5=52

解答

3 ∣ 2 (x + 4) (x - 2) ∣ - 5 = 52

解答

x = - \frac{2 + 74}{2} or x = \frac{- 2 + 74}{2}

+1

十进制

x = - 5.30116 \dots, x = 3.30116 \dots

求解步骤

3 ∣ 2 (x + 4) (x - 2) ∣ - 5 = 52

将

5

到右边

3 ∣ 2 (x + 4) (x - 2) ∣ = 57

两边除以

3

∣ 2 (x + 4) (x - 2) ∣ = 19

使用绝对值运算法则: 若

∣ u ∣ = a, a > 0

，则

u = a

or

u = - a

2 (x + 4) (x - 2) = - 19 or 2 (x + 4) (x - 2) = 19

2 (x + 4) (x - 2) = - 19 or 2 (x + 4) (x - 2) = 19

无解 or (x = - \frac{2 + 74}{2} or x = \frac{- 2 + 74}{2})

x = - \frac{2 + 74}{2} or x = \frac{- 2 + 74}{2}

作图

流行的例子

- \frac{8 p}{6} = 2

∣ - 2 x ∣ + 7 = 15

∣ - 7 x + 4 ∣ + 9 = 34

∣ 5 x + 6 ∣ = 41

∣ 4 u ∣ + 6 = 38