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受欢迎的代数 >

x/(x+1)=e^2

解答

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

解答

x = \frac{e ^{2}}{1 - e ^{2}}

+1

十进制

x = - 1.15651 \dots

求解步骤

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

在两边乘以

x + 1

x = e^{2} (x + 1)

展开

e^{2} (x + 1) : e^{2} x + e^{2}

x = e^{2} x + e^{2}

将

e^{2} x

para o lado esquerdo

x - e^{2} x = e^{2}

分解

x - e^{2} x : (1 - e^{2}) x

(1 - e^{2}) x = e^{2}

两边除以

1 - e^{2}

x = \frac{e ^{2}}{1 - e ^{2}}

验证解

找到无定义的点（奇点）:

x = - 1

将不在定义域的点与解相综合:

x = \frac{e ^{2}}{1 - e ^{2}}

作图

流行的例子

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

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

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\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{6}

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\frac{600}{300 + x} = \frac{400}{300 - x}