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受欢迎的代数 >

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

解答

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

解答

x = 2 - 3, x = 2 + 3

+1

十进制

x = 0.26794 \dots, x = 3.73205 \dots

求解步骤

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

乘以最小公倍数

2 x^{2} + x - 1 = 3 x (x - 1)

解

2 x^{2} + x - 1 = 3 x (x - 1) : x = 2 - 3, x = 2 + 3

x = 2 - 3, x = 2 + 3

验证解

找到无定义的点（奇点）:

x = 1, x = 0

将不在定义域的点与解相综合:

x = 2 - 3, x = 2 + 3

作图

流行的例子

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

\frac{2}{x + 2} - \frac{1}{x - 3} = 0

x^{- 2} = 3

solvefor a,R=(as)/(a+s)

so l v e f or a, R = \frac{a s}{a + s}

10x-4(-x+2)+3= 8/(2x)

10 x - 4 (- x + 2) + 3 = \frac{8}{2 x}

(\frac{3}{a}) - (\frac{5}{a}) = 2