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受欢迎的代数 >

1/(3x-4)+1/(5x+9)=6

解答

\frac{1}{3 x - 4} + \frac{1}{5 x + 9} = 6

解答

x = \frac{- 17 + 20179}{90}, x = - \frac{17 + 20179}{90}

+1

十进制

x = 1.38947 \dots, x = - 1.76725 \dots

求解步骤

\frac{1}{3 x - 4} + \frac{1}{5 x + 9} = 6

乘以最小公倍数

8 x + 5 = 6 (3 x - 4) (5 x + 9)

解

8 x + 5 = 6 (3 x - 4) (5 x + 9) : x = \frac{- 17 + 20179}{90}, x = - \frac{17 + 20179}{90}

x = \frac{- 17 + 20179}{90}, x = - \frac{17 + 20179}{90}

验证解

找到无定义的点（奇点）:

x = \frac{4}{3}, x = - \frac{9}{5}

将不在定义域的点与解相综合:

x = \frac{- 17 + 20179}{90}, x = - \frac{17 + 20179}{90}

作图

流行的例子

16/9 =(A^2-9)/(A^2-16)

\frac{16}{9} = \frac{A ^{2} - 9}{A ^{2} - 16}

\frac{12}{7} = \frac{60}{x}

solvefor x, 2/5 =(16)/x

so l v e f or x, \frac{2}{5} = \frac{16}{x}

\frac{8}{x} = x + 2

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