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受欢迎的代数 >

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

解答

\frac{5}{x + 2} + \frac{x}{x + 3} = 3

解答

x = - \frac{4 + 10}{2}, x = - \frac{4 - 10}{2}

+1

十进制

x = - 3.58113 \dots, x = - 0.41886 \dots

求解步骤

\frac{5}{x + 2} + \frac{x}{x + 3} = 3

乘以最小公倍数

5 (x + 3) + x (x + 2) = 3 (x + 2) (x + 3)

解

5 (x + 3) + x (x + 2) = 3 (x + 2) (x + 3) : x = - \frac{4 + 10}{2}, x = - \frac{4 - 10}{2}

x = - \frac{4 + 10}{2}, x = - \frac{4 - 10}{2}

验证解

找到无定义的点（奇点）:

x = - 2, x = - 3

将不在定义域的点与解相综合:

x = - \frac{4 + 10}{2}, x = - \frac{4 - 10}{2}

作图

流行的例子

solvefor x,(x+1)/(x-3)=y-4

so l v e f or x, \frac{x + 1}{x - 3} = y - 4

2x^{-2}-19x^{-1}+42=0

2 x^{- 2} - 19 x^{- 1} + 42 = 0

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

\frac{1}{2 x + 1} + \frac{3}{4} = 1

7/(x-1)= 4/(x-6)

\frac{7}{x - 1} = \frac{4}{x - 6}

\frac{4}{x} + \frac{3}{x ^{2}} = 4