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受欢迎的代数 >

(2x)/(21)=(40)/(11x+4)

解答

\frac{2 x}{21} = \frac{40}{11 x + 4}

解答

x = 6, x = - \frac{70}{11}

+1

十进制

x = 6, x = - 6.36363 \dots

求解步骤

\frac{2 x}{21} = \frac{40}{11 x + 4}

使用分式交叉相乘

2 x (11 x + 4) = 840

解

2 x (11 x + 4) = 840 : x = 6, x = - \frac{70}{11}

x = 6, x = - \frac{70}{11}

验证解

找到无定义的点（奇点）:

x = - \frac{4}{11}

将不在定义域的点与解相综合:

x = 6, x = - \frac{70}{11}

作图

流行的例子

(2.2046)/(10)= 1/x

\frac{2.2046}{10} = \frac{1}{x}

\frac{1}{x ^{2}} + \frac{1}{x} = 6

x+3=(4x+8)/(x+3)

x + 3 = \frac{4 x + 8}{x + 3}

4/x =(7.5)/(95)

\frac{4}{x} = \frac{7.5}{95}

x = \frac{32}{x - 3} + 3