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受欢迎的代数 >

1/((x-2))+1/((x-3))= 1/((x+1))+1/((x-6))

解答

\frac{1}{( x - 2 )} + \frac{1}{( x - 3 )} = \frac{1}{( x + 1 )} + \frac{1}{( x - 6 )}

解答

x = \frac{5}{2}

+1

十进制

x = 2.5

求解步骤

\frac{1}{( x - 2 )} + \frac{1}{( x - 3 )} = \frac{1}{( x + 1 )} + \frac{1}{( x - 6 )}

乘以最小公倍数

2 x^{3} - 15 x^{2} + 13 x + 30 = 2 x^{3} - 15 x^{2} + 37 x - 30

将

30

到右边

2 x^{3} - 15 x^{2} + 13 x = 2 x^{3} - 15 x^{2} + 37 x - 60

两边减去

2 x^{3} - 15 x^{2} + 37 x

2 x^{3} - 15 x^{2} + 13 x - (2 x^{3} - 15 x^{2} + 37 x) = 2 x^{3} - 15 x^{2} + 37 x - 60 - (2 x^{3} - 15 x^{2} + 37 x)

化简

- 24 x = - 60

两边除以

- 24

x = \frac{5}{2}

验证解

找到无定义的点（奇点）:

x = 2, x = 3, x = - 1, x = 6

将不在定义域的点与解相综合:

x = \frac{5}{2}

作图

流行的例子

(31)/(2+x)= 51/4

\frac{31}{2 + x} = \frac{51}{4}

(x)=((2x+3))/((x+2))

(x) = \frac{( 2 x + 3 )}{( x + 2 )}

(6x^2-(3a))/(2*x-a^2)=0

\frac{6 x ^{2} - ( 3 a )}{2 \cdot x - a ^{2}} = 0

solvefor k,x= 1/k

so l v e f or k, x = \frac{1}{k}

((x-1))/((x-2))+((x-3))/((x-4))= 31/3

\frac{( x - 1 )}{( x - 2 )} + \frac{( x - 3 )}{( x - 4 )} = \frac{31}{3}