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受欢迎的代数 >

(600)/x-45x=3(4-15x)

解答

\frac{600}{x} - 45 x = 3 (4 - 15 x)

解答

x = 50

求解步骤

\frac{600}{x} - 45 x = 3 (4 - 15 x)

在两边乘以

x

600 - 45 x^{2} = 3 (4 - 15 x) x

展开

3 (4 - 15 x) x : 12 x - 45 x^{2}

600 - 45 x^{2} = 12 x - 45 x^{2}

将

600

到右边

- 45 x^{2} = 12 x - 45 x^{2} - 600

两边减去

12 x - 45 x^{2}

- 45 x^{2} - (12 x - 45 x^{2}) = 12 x - 45 x^{2} - 600 - (12 x - 45 x^{2})

化简

- 12 x = - 600

两边除以

- 12

x = 50

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 = 50

作图

流行的例子

1/(x-1)+4=(17)/(x-1)

\frac{1}{x - 1} + 4 = \frac{17}{x - 1}

4 = 7 - \frac{21}{x}

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

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

solvefor A,p= F/A

so l v e f or A, p = \frac{F}{A}