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受欢迎的代数 >

(9/5)/x =((3/2+1/4))/((1+7/9))

解答

\frac{\frac{9}{5}}{x} = \frac{( \frac{3}{2} + \frac{1}{4} )}{( 1 + \frac{7}{9} )}

解答

x = \frac{64}{35}

+1

十进制

x = 1.82857 \dots

求解步骤

\frac{\frac{9}{5}}{x} = \frac{( \frac{3}{2} + \frac{1}{4} )}{( 1 + \frac{7}{9} )}

使用分式交叉相乘

9 (1 + \frac{7}{9}) = 5 x (\frac{3}{2} + \frac{1}{4})

交换两边

5 x (\frac{3}{2} + \frac{1}{4}) = 9 (1 + \frac{7}{9})

化简

9 (1 + \frac{7}{9}) : 16

5 x (\frac{3}{2} + \frac{1}{4}) = 16

两边除以

5 (\frac{3}{2} + \frac{1}{4})

x = \frac{64}{35}

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{64}{35}

作图

流行的例子

\frac{a}{x - 51} = 3

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

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

(-40}{x+2}=\frac{-30)/x

\frac{- 40}{x + 2} = \frac{- 30}{x}

((4b^2-2b))/((10b-5))= 10/1

\frac{( 4 b ^{2} - 2 b )}{( 10 b - 5 )} = \frac{10}{1}

2x^2=((250)/x)+30x

2 x^{2} = (\frac{250}{x}) + 30 x