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^2-x^4= 1/16

解答

x^{2} - x^{4} = \frac{1}{16}

解答

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

+1

十进制

x = 0.25881 \dots, x = - 0.25881 \dots, x = 0.96592 \dots, x = - 0.96592 \dots

求解步骤

x^{2} - x^{4} = \frac{1}{16}

在两边乘以

16

16 x^{2} - 16 x^{4} = 1

将

1

para o lado esquerdo

16 x^{2} - 16 x^{4} - 1 = 0

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- 16 x^{4} + 16 x^{2} - 1 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

- 16 u^{2} + 16 u - 1 = 0

解

- 16 u^{2} + 16 u - 1 = 0 : u = \frac{2 - 3}{4}, u = \frac{2 + 3}{4}

u = \frac{2 - 3}{4}, u = \frac{2 + 3}{4}

代回

u = x^{2}

，求解

x

解

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

解

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

解为

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

作图

流行的例子

7x^3+21x^2-63x=0

7 x^{3} + 21 x^{2} - 63 x = 0

根 x^4+3x^3-2x^2-12x-8=0

roo t s x^{4} + 3 x^{3} - 2 x^{2} - 12 x - 8 = 0

根 12x^3-28x^2-9x+10

roo t s 12 x^{3} - 28 x^{2} - 9 x + 10

c^{3} = 27

6x^3-35x^2+26x-5=0

6 x^{3} - 35 x^{2} + 26 x - 5 = 0