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受欢迎的代数 >

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

解答

\frac{5}{x + 3} + \frac{4}{x + 2} = 2

解答

x = 2, x = - \frac{5}{2}

+1

十进制

x = 2, x = - 2.5

求解步骤

\frac{5}{x + 3} + \frac{4}{x + 2} = 2

乘以最小公倍数

5 (x + 2) + 4 (x + 3) = 2 (x + 3) (x + 2)

解

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

x = 2, x = - \frac{5}{2}

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 = 2, x = - \frac{5}{2}

作图

流行的例子

28a^{-2}+45a^{-1}-7=0

28 a^{- 2} + 45 a^{- 1} - 7 = 0

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

(x^2-9)/(3-x)=x+1

\frac{x ^{2} - 9}{3 - x} = x + 1

solvefor y,x=(y+2)/(y-3)

so l v e f or y, x = \frac{y + 2}{y - 3}

\frac{1}{x} + 4 = 0