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受欢迎的代数 >

|(x+1)/(x-2)|=4

解答

\frac{x + 1}{x - 2} = 4

解答

x = \frac{7}{5}, x = 3

+1

十进制

x = 1.4, x = 3

求解步骤

\frac{x + 1}{x - 2} = 4

化简

\frac{x + 1}{x - 2} : \frac{∣ x + 1 ∣}{∣ x - 2 ∣}

\frac{∣ x + 1 ∣}{∣ x - 2 ∣} = 4

在两边乘以

∣ x - 2 ∣

∣ x + 1 ∣ = 4 ∣ x - 2 ∣

解

∣ x + 1 ∣ = 4 ∣ x - 2 ∣ : x = \frac{7}{5} or x = 3

x = \frac{7}{5}, x = 3

验证解

找到无定义的点（奇点）:

x = 2

将不在定义域的点与解相综合:

x = \frac{7}{5}, x = 3

作图

流行的例子

(x)=(x^2-7x+12)/(7x)

(x) = \frac{x ^{2} - 7 x + 12}{7 x}

\frac{3}{2.7} = \frac{12}{y}

\frac{1}{x} + \frac{3}{x + 2} = 2

\frac{1}{x} = 10

3x-1=(5x+2)/(x-2)

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