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 >

q^{(4)}-q^{(2)}-6=0

解答

q^{(4)} - q^{(2)} - 6 = 0

解答

q = 3, q = - 3, q = 2 i, q = - 2 i

求解步骤

q^{(4)} - q^{(2)} - 6 = 0

整理后得

q^{4} - q^{2} - 6 = 0

用

u = q^{2}

和

u^{2} = q^{4}

改写方程式

u^{2} - u - 6 = 0

解

u^{2} - u - 6 = 0 : u = 3, u = - 2

u = 3, u = - 2

代回

u = q^{2}

，求解

q

解

q^{2} = 3 : q = 3, q = - 3

解

q^{2} = - 2 : q = 2 i, q = - 2 i

解为

q = 3, q = - 3, q = 2 i, q = - 2 i

作图

流行的例子

x^8-4x^6+4x^4-1=0

x^{8} - 4 x^{6} + 4 x^{4} - 1 = 0

11 r + 15 = r^{2} r^{2}

x^{3} + 2 x^{2} - x - 1 = 0

(x^2+2x+20)^2=0

(x^{2} + 2 x + 20)^{2} = 0

h^{3} = 1