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受欢迎的代数 >

5/(x+10)= x/(3x-1)

解答

\frac{5}{x + 10} = \frac{x}{3 x - 1}

解答

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

+1

十进制

x = 3.61803 \dots, x = 1.38196 \dots

求解步骤

\frac{5}{x + 10} = \frac{x}{3 x - 1}

使用分式交叉相乘

5 (3 x - 1) = (x + 10) x

解

5 (3 x - 1) = (x + 10) x : x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

验证解

找到无定义的点（奇点）:

x = - 10, x = \frac{1}{3}

将不在定义域的点与解相综合:

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

作图

流行的例子

(x+2)/7 = 8/(x+3)

\frac{x + 2}{7} = \frac{8}{x + 3}

\frac{3}{7 x} = 2

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

- 4 = r^{- 4}

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

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