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受欢迎的代数 >

6x-4/x =5

解答

6 x - \frac{4}{x} = 5

解答

x = \frac{4}{3}, x = - \frac{1}{2}

+1

十进制

x = 1.33333 \dots, x = - 0.5

求解步骤

6 x - \frac{4}{x} = 5

在两边乘以

x

6 x^{2} - 4 = 5 x

解

6 x^{2} - 4 = 5 x : x = \frac{4}{3}, x = - \frac{1}{2}

x = \frac{4}{3}, x = - \frac{1}{2}

验证解

找到无定义的点（奇点）:

x = 0

将不在定义域的点与解相综合:

x = \frac{4}{3}, x = - \frac{1}{2}

作图

流行的例子

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

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

2 x^{- 3} = 54

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

(x^2)/(x-1)=(x^2-16)/(x+4)

\frac{x ^{2}}{x - 1} = \frac{x ^{2} - 16}{x + 4}

solvefor r,S= 1/(1-r)

so l v e f or r, S = \frac{1}{1 - r}