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受欢迎的代数 >

2/(3(12x-18))=4

解答

\frac{2}{3 ( 12 x - 18 )} = 4

解答

x = \frac{109}{72}

+1

十进制

x = 1.51388 \dots

求解步骤

\frac{2}{3 ( 12 x - 18 )} = 4

化简

\frac{2}{3 ( 12 x - 18 )} : \frac{1}{9 ( 2 x - 3 )}

\frac{1}{9 ( 2 x - 3 )} = 4

在两边乘以

9 (2 x - 3)

1 = 36 (2 x - 3)

交换两边

36 (2 x - 3) = 1

两边除以

36

2 x - 3 = \frac{1}{36}

将

3

到右边

2 x = \frac{109}{36}

两边除以

2

x = \frac{109}{72}

验证解

找到无定义的点（奇点）:

x = \frac{3}{2}

将不在定义域的点与解相综合:

x = \frac{109}{72}

作图

流行的例子

(b-10)/(b-9)= 9/7

\frac{b - 10}{b - 9} = \frac{9}{7}

0 = 2 + \frac{1}{x + 4}

- \frac{15}{24} = \frac{12}{x}

2(84100)/y+3y=35000

2 \frac{84100}{y} + 3 y = 35000

\frac{1}{3} = \frac{5}{b} - 3