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受欢迎的代数 >

m/(m+1)+5/(m-1)=1

解答

\frac{m}{m + 1} + \frac{5}{m - 1} = 1

解答

m = - \frac{3}{2}

+1

十进制

m = - 1.5

求解步骤

\frac{m}{m + 1} + \frac{5}{m - 1} = 1

乘以最小公倍数

m (m - 1) + 5 (m + 1) = (m + 1) (m - 1)

乘开

m (m - 1) : m^{2} - m

m^{2} - m + 5 (m + 1) = (m + 1) (m - 1)

乘开

5 (m + 1) : 5 m + 5

m^{2} - m + 5 m + 5 = (m + 1) (m - 1)

同类项相加:

- m + 5 m = 4 m

m^{2} + 4 m + 5 = (m + 1) (m - 1)

展开

(m + 1) (m - 1) : m^{2} - 1

m^{2} + 4 m + 5 = m^{2} - 1

将

5

到右边

m^{2} + 4 m = m^{2} - 6

将

m^{2}

para o lado esquerdo

4 m = - 6

两边除以

4

m = - \frac{3}{2}

验证解

找到无定义的点（奇点）:

m = - 1, m = 1

将不在定义域的点与解相综合:

m = - \frac{3}{2}

作图

流行的例子

(1) = \frac{1}{s}

solvefor x,z=(x-5)/(mx)

so l v e f or x, z = \frac{x - 5}{m x}

24/5 =(-31)/(2n)

\frac{24}{5} = \frac{- 31}{2 n}

solvefor f,(k-g)/(f-7)=h

so l v e f or f, \frac{k - g}{f - 7} = h

4/(x+2)= 6/(x-2)

\frac{4}{x + 2} = \frac{6}{x - 2}