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受欢迎的代数 >

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

解答

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

解答

x = 19, x = - 19

+1

十进制

x = 4.35889 \dots, x = - 4.35889 \dots

求解步骤

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

乘以最小公倍数

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

解

2 (x + 2) - 3 (x - 3) = (x - 3) (x + 2) : x = 19, x = - 19

x = 19, x = - 19

验证解

找到无定义的点（奇点）:

x = 3, x = - 2

将不在定义域的点与解相综合:

x = 19, x = - 19

作图

流行的例子

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

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

4x^2-16x+16+(4x+8)/x =0

4 x^{2} - 16 x + 16 + \frac{4 x + 8}{x} = 0

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

\frac{x - 2}{5} = 1 - \frac{1}{2 x - 3}

solvefor x,y= x/(2+x+1)

so l v e f or x, y = \frac{x}{2 + x + 1}