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受欢迎的代数 >

(31)/(3(1+2x))=(51)/(2(2x-1))

解答

\frac{31}{3 ( 1 + 2 x )} = \frac{51}{2 ( 2 x - 1 )}

解答

x = - \frac{215}{182}

+1

十进制

x = - 1.18131 \dots

求解步骤

\frac{31}{3 ( 1 + 2 x )} = \frac{51}{2 ( 2 x - 1 )}

使用分式交叉相乘

124 x - 62 = 153 + 306 x

将

62

到右边

124 x = 306 x + 215

将

306 x

para o lado esquerdo

- 182 x = 215

两边除以

- 182

x = - \frac{215}{182}

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{215}{182}

作图

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3750 = \frac{1225}{( 0.289 + \frac{0.1}{x} )}

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