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受欢迎的代数 >

(6x^2+18x)/(2x^3)= 5/x

解答

\frac{6 x ^{2} + 18 x}{2 x ^{3}} = \frac{5}{x}

解答

x = \frac{9}{2}

+1

十进制

x = 4.5

求解步骤

\frac{6 x ^{2} + 18 x}{2 x ^{3}} = \frac{5}{x}

使用分式交叉相乘

3 (x + 3) x = x^{2} \cdot 5

解

3 (x + 3) x = x^{2} \cdot 5 : x = 0, x = \frac{9}{2}

x = 0, x = \frac{9}{2}

验证解

找到无定义的点（奇点）:

x = 0

因为方程对以下值无定义:

0

x = \frac{9}{2}

作图

流行的例子

2 x - 2 x^{- 2} = 0

\frac{1}{x} - 6 = - 5 x

300000x-(1505000)/(x^2)=0

300000 x - \frac{1505000}{x ^{2}} = 0

1/(3x)+(4x)/6 =1

\frac{1}{3 x} + \frac{4 x}{6} = 1

\frac{x ^{2}}{x - 1} = 0