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受欢迎的代数 >

|2x-x^2-3x|=1

解答

2 x - x^{2} - 3 x = 1

解答

x = - \frac{1 + 5}{2} or x = \frac{5 - 1}{2}

+1

十进制

x = - 1.61803 \dots, x = 0.61803 \dots

求解步骤

2 x - x^{2} - 3 x = 1

使用绝对值运算法则: 若

∣ u ∣ = a, a > 0

，则

u = a

or

u = - a

2 x - x^{2} - 3 x = - 1 or 2 x - x^{2} - 3 x = 1

2 x - x^{2} - 3 x = - 1 or 2 x - x^{2} - 3 x = 1

(x = - \frac{1 + 5}{2} or x = \frac{5 - 1}{2}) or 无解

x = - \frac{1 + 5}{2} or x = \frac{5 - 1}{2}

作图

流行的例子

|x^2-2|+|x-1|=|x^2-x-1|

x^{2} - 2 + ∣ x - 1 ∣ = x^{2} - x - 1

∣ x - 3 ∣ - ∣ 2 x - 5 ∣ = 0

| 1/2 x-2/3 |-1= 1/6

\frac{1}{2} x - \frac{2}{3} - 1 = \frac{1}{6}

∣ x - 3 ∣ + ∣ 3 - x ∣ = 1

∣ x + 1 ∣ = 2 x - 3