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受欢迎的代数 >

2/(u-2)=-6+7/(u+1)

解答

\frac{2}{u - 2} = - 6 + \frac{7}{u + 1}

解答

u = \frac{1}{2}, u = \frac{4}{3}

+1

十进制

u = 0.5, u = 1.33333 \dots

求解步骤

\frac{2}{u - 2} = - 6 + \frac{7}{u + 1}

乘以最小公倍数

2 (u + 1) = - 6 (u - 2) (u + 1) + 7 (u - 2)

解

2 (u + 1) = - 6 (u - 2) (u + 1) + 7 (u - 2) : u = \frac{1}{2}, u = \frac{4}{3}

u = \frac{1}{2}, u = \frac{4}{3}

验证解

找到无定义的点（奇点）:

u = 2, u = - 1

将不在定义域的点与解相综合:

u = \frac{1}{2}, u = \frac{4}{3}

作图

流行的例子

3 π = \frac{2 π}{x}

\frac{5}{x} + 1 = x

(10)/(3x)= 15/9

\frac{10}{3 x} = \frac{15}{9}

(x-20)/x = 33/100

\frac{x - 20}{x} = \frac{33}{100}

\frac{4}{x} - \frac{1}{x - 1} = 9