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+24=14x^2

解答

x^{4} + 24 = 14 x^{2}

解答

x = 23, x = - 23, x = 2, x = - 2

+1

十进制

x = 3.46410 \dots, x = - 3.46410 \dots, x = 1.41421 \dots, x = - 1.41421 \dots

求解步骤

x^{4} + 24 = 14 x^{2}

将

14 x^{2}

para o lado esquerdo

x^{4} + 24 - 14 x^{2} = 0

改写成标准形式

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

x^{4} - 14 x^{2} + 24 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} - 14 u + 24 = 0

解

u^{2} - 14 u + 24 = 0 : u = 12, u = 2

u = 12, u = 2

代回

u = x^{2}

，求解

x

解

x^{2} = 12 : x = 23, x = - 23

解

x^{2} = 2 : x = 2, x = - 2

解为

x = 23, x = - 23, x = 2, x = - 2

作图

流行的例子

3 x^{3} = x

(x + 5)^{2} (x - 2) = 0

5 z^{3} + 13 z^{2} = 28 z

x^3-6x^2+33x-92=0

x^{3} - 6 x^{2} + 33 x - 92 = 0

4 x^{3} - 3 x + 1 = 0