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受欢迎的代数 >

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

解答

\frac{2 + 3}{( 2 x + 1 ) ( 2 x - 1 )} = 3

解答

x = \frac{2}{3}, x = - \frac{2}{3}

+1

十进制

x = 0.81649 \dots, x = - 0.81649 \dots

求解步骤

\frac{2 + 3}{( 2 x + 1 ) ( 2 x - 1 )} = 3

化简

\frac{2 + 3}{( 2 x + 1 ) ( 2 x - 1 )} : \frac{5}{( 2 x + 1 ) ( 2 x - 1 )}

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

在两边乘以

(2 x + 1) (2 x - 1)

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

解

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

x = \frac{2}{3}, x = - \frac{2}{3}

验证解

找到无定义的点（奇点）:

x = - \frac{1}{2}, x = \frac{1}{2}

将不在定义域的点与解相综合:

x = \frac{2}{3}, x = - \frac{2}{3}

作图

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12 - \frac{25}{x} = 4 + \frac{7}{x}

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