zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

x^4-265x^2+1=0

解答

x^{4} - 265 x^{2} + 1 = 0

解答

x = \frac{265 + 70221}{2}, x = - \frac{265 + 70221}{2}, x = \frac{265 - 70221}{2}, x = - \frac{265 - 70221}{2}

+1

十进制

x = 16.27870 \dots, x = - 16.27870 \dots, x = 0.06142 \dots, x = - 0.06142 \dots

求解步骤

x^{4} - 265 x^{2} + 1 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} - 265 u + 1 = 0

解

u^{2} - 265 u + 1 = 0 : u = \frac{265 + 70221}{2}, u = \frac{265 - 70221}{2}

u = \frac{265 + 70221}{2}, u = \frac{265 - 70221}{2}

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{265 + 70221}{2} : x = \frac{265 + 70221}{2}, x = - \frac{265 + 70221}{2}

解

x^{2} = \frac{265 - 70221}{2} : x = \frac{265 - 70221}{2}, x = - \frac{265 - 70221}{2}

解为

x = \frac{265 + 70221}{2}, x = - \frac{265 + 70221}{2}, x = \frac{265 - 70221}{2}, x = - \frac{265 - 70221}{2}

作图

流行的例子

x^{4} x - 8 = 2 x - 4

- 2 = 2 x^{5} + x^{3} + 1

(2 - x^{2})^{2} - 1 = 0

m^{4} - 13 m^{2} + 36 = 0

z^{4} + 3 z^{2} + 2 = 0