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受欢迎的代数 >

13=3x^2+4/(x^2)

解答

13 = 3 x^{2} + \frac{4}{x ^{2}}

解答

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

+1

十进制

x = 2, x = - 2, x = 0.57735 \dots, x = - 0.57735 \dots

求解步骤

13 = 3 x^{2} + \frac{4}{x ^{2}}

在两边乘以

x^{2}

13 x^{2} = 3 x^{4} + 4

解

13 x^{2} = 3 x^{4} + 4 : x = 2, x = - 2, x = \frac{1}{3}, x = - \frac{1}{3}

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

验证解

找到无定义的点（奇点）:

x = 0

将不在定义域的点与解相综合:

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

作图

流行的例子

\frac{25}{49} = \frac{196}{x}

(1.5)/(7.5)= 3/x

\frac{1.5}{7.5} = \frac{3}{x}

\frac{1}{x} - \frac{2}{x - 5} = 0

e = \frac{a - re}{e - r}

2z^2-(15)/(z^2)+7=0

2 z^{2} - \frac{15}{z ^{2}} + 7 = 0