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受欢迎的代数 >

5/((x-1))-5/((x-1))= 2/((x-2))-2/((x+3))

解答

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

解答

无解

求解步骤

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

乘以最小公倍数

0 = 2 (x - 1) (x + 3) - 2 (x - 1) (x - 2)

交换两边

2 (x - 1) (x + 3) - 2 (x - 1) (x - 2) = 0

展开

2 (x - 1) (x + 3) - 2 (x - 1) (x - 2) : 10 x - 10

10 x - 10 = 0

将

10

到右边

10 x = 10

两边除以

10

x = 1

验证解

找到无定义的点（奇点）:

x = 1, x = - 3, x = 2

因为方程对以下值无定义:

1

无解

作图

流行的例子

9x-2-7x(1/x-1/2)=((1+x/2))/2+23/4

9 x - 2 - 7 x (\frac{1}{x} - \frac{1}{2}) = \frac{( 1 + \frac{x}{2} )}{2} + \frac{23}{4}

solvefor x, 1/x = 4/((y-x)^2)

so l v e f or x, \frac{1}{x} = \frac{4}{( y - x ) ^{2}}

(6q^2+1)/2 = 7/(2q)

\frac{6 q ^{2} + 1}{2} = \frac{7}{2 q}

(16/7}{4/9}=\frac{9/14)/t

\frac{\frac{16}{7}}{\frac{4}{9}} = \frac{\frac{9}{14}}{t}

(x/((x+5)))-((11x)/((11x-8)))+(7/((6-4x)))=0

(\frac{x}{( x + 5 )}) - (\frac{11 x}{( 11 x - 8 )}) + (\frac{7}{( 6 - 4 x )}) = 0