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受欢迎的代数 >

1/(2*(x+1/5))= 9/5

解答

\frac{1}{2 \cdot ( x + \frac{1}{5} )} = \frac{9}{5}

解答

x = \frac{7}{90}

+1

十进制

x = 0.07777 \dots

求解步骤

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

使用分式交叉相乘

25 = 18 (5 x + 1)

交换两边

18 (5 x + 1) = 25

两边除以

18

5 x + 1 = \frac{25}{18}

将

1

到右边

5 x = \frac{7}{18}

两边除以

5

x = \frac{7}{90}

验证解

找到无定义的点（奇点）:

x = - \frac{1}{5}

将不在定义域的点与解相综合:

x = \frac{7}{90}

作图

流行的例子

2/((5x))-1/30 = 5/((2x))

\frac{2}{( 5 x )} - \frac{1}{30} = \frac{5}{( 2 x )}

(11/3)/(x/5)= 5/9

\frac{\frac{11}{3}}{\frac{x}{5}} = \frac{5}{9}

8((a^3-1)/(a^3))=63

8 (\frac{a ^{3} - 1}{a ^{3}}) = 63

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

((x+3)}{(x-2)}-\frac{(1-x))/x = 41/4

\frac{( x + 3 )}{( x - 2 )} - \frac{( 1 - x )}{x} = \frac{41}{4}