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受欢迎的代数 >

x+4= 5/(|x-2|)

解答

x + 4 = \frac{5}{∣ x - 2 ∣}

解答

x = - 3, x = 1, x = - 1 + 14

+1

十进制

x = - 3, x = 1, x = 2.74165 \dots

求解步骤

x + 4 = \frac{5}{∣ x - 2 ∣}

在两边乘以

∣ x - 2 ∣

x ∣ x - 2 ∣ + 4 ∣ x - 2 ∣ = 5

解

x ∣ x - 2 ∣ + 4 ∣ x - 2 ∣ = 5 : x = - 3 or x = 1 or x = - 1 + 14

x = - 3, x = 1, x = - 1 + 14

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 = - 3, x = 1, x = - 1 + 14

作图

流行的例子

solvefor x,7-t= c/x

so l v e f or x, 7 - t = \frac{c}{x}

(3x-9)/(x-1)+(x+6)/(x+1)=3

\frac{3 x - 9}{x - 1} + \frac{x + 6}{x + 1} = 3

solvefor x,y= 1/(x^2+3x+2)

so l v e f or x, y = \frac{1}{x ^{2} + 3 x + 2}

(36)/x-5=(17)/(2x)

\frac{36}{x} - 5 = \frac{17}{2 x}

2/x-(x+1)/5 =(-4)/5

\frac{2}{x} - \frac{x + 1}{5} = \frac{- 4}{5}