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受欢迎的代数 >

2x+1= 3/(5x-2)

解答

2 x + 1 = \frac{3}{5 x - 2}

解答

x = \frac{- 1 + 201}{20}, x = \frac{- 1 - 201}{20}

+1

十进制

x = 0.65887 \dots, x = - 0.75887 \dots

求解步骤

2 x + 1 = \frac{3}{5 x - 2}

在两边乘以

5 x - 2

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

解

2 x (5 x - 2) + 5 x - 2 = 3 : x = \frac{- 1 + 201}{20}, x = \frac{- 1 - 201}{20}

x = \frac{- 1 + 201}{20}, x = \frac{- 1 - 201}{20}

验证解

找到无定义的点（奇点）:

x = \frac{2}{5}

将不在定义域的点与解相综合:

x = \frac{- 1 + 201}{20}, x = \frac{- 1 - 201}{20}

作图

流行的例子

x + \frac{14}{x} = - 9

1/(x-1)+1/(x+1)=1

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

- \frac{12}{x} = \frac{24}{8}

(5x-5)/(3x-3)=1

\frac{5 x - 5}{3 x - 3} = 1

(x^2+x-42)/(x-6)=x+7

\frac{x ^{2} + x - 42}{x - 6} = x + 7