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=6x^2-5

解答

x^{4} = 6 x^{2} - 5

解答

x = 5, x = - 5, x = 1, x = - 1

+1

十进制

x = 2.23606 \dots, x = - 2.23606 \dots, x = 1, x = - 1

求解步骤

x^{4} = 6 x^{2} - 5

将

5

para o lado esquerdo

x^{4} + 5 = 6 x^{2}

将

6 x^{2}

para o lado esquerdo

x^{4} + 5 - 6 x^{2} = 0

改写成标准形式

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

x^{4} - 6 x^{2} + 5 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} - 6 u + 5 = 0

解

u^{2} - 6 u + 5 = 0 : u = 5, u = 1

u = 5, u = 1

代回

u = x^{2}

，求解

x

解

x^{2} = 5 : x = 5, x = - 5

解

x^{2} = 1 : x = 1, x = - 1

解为

x = 5, x = - 5, x = 1, x = - 1

作图

流行的例子

x^{4} = 2

48x^3+40x^2-x-3=0

48 x^{3} + 40 x^{2} - x - 3 = 0

solvefor x,f(x^3)=x^2

so l v e f or x, f (x^{3}) = x^{2}

x = x^{4} - 1

solvefor x,x^4-8x^2+7=0

so l v e f or x, x^{4} - 8 x^{2} + 7 = 0