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 >

4x^4-29x^2+25=0

解答

4 x^{4} - 29 x^{2} + 25 = 0

解答

x = \frac{5}{2}, x = - \frac{5}{2}, x = 1, x = - 1

+1

十进制

x = 2.5, x = - 2.5, x = 1, x = - 1

求解步骤

4 x^{4} - 29 x^{2} + 25 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

4 u^{2} - 29 u + 25 = 0

解

4 u^{2} - 29 u + 25 = 0 : u = \frac{25}{4}, u = 1

u = \frac{25}{4}, u = 1

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{25}{4} : x = \frac{5}{2}, x = - \frac{5}{2}

解

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

解为

x = \frac{5}{2}, x = - \frac{5}{2}, x = 1, x = - 1

作图

流行的例子

5=(6x(x^3-1)^3)

5 = (6 x (x^{3} - 1)^{3})

1 = 4 x^{3} + 4 x

y^{4} - 10 y^{2} = - 9

solvefor x,x^3y^3=5

so l v e f or x, x^{3} y^{3} = 5

t^{4} - 5 t^{2} + 4 = 0