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受欢迎的代数 >

| 5/(x+2)|=7

解答

\frac{5}{x + 2} = 7

解答

x = - \frac{19}{7}, x = - \frac{9}{7}

+1

十进制

x = - 2.71428 \dots, x = - 1.28571 \dots

求解步骤

\frac{5}{x + 2} = 7

化简

\frac{5}{x + 2} : \frac{5}{∣ x + 2 ∣}

\frac{5}{∣ x + 2 ∣} = 7

在两边乘以

∣ x + 2 ∣

5 = 7 ∣ x + 2 ∣

解

5 = 7 ∣ x + 2 ∣ : x = - \frac{19}{7} or x = - \frac{9}{7}

x = - \frac{19}{7}, x = - \frac{9}{7}

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{19}{7}, x = - \frac{9}{7}

作图

流行的例子

(x+2)/(3+2x)<= 5

\frac{x + 2}{3 + 2 x} \leq 5

化简 log_{4}(60)-log_{4}(4)+log_{4}(x)

s im pl i f y lo g_{4} (60) - lo g_{4} (4) + lo g_{4} (x)

- 3 x + 4 \leq 4 x - 10

x^{2} + \frac{6}{7} x - 55 = 0

因式分解 5n^2+8n+3

f a c t or 5 n^{2} + 8 n + 3