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 >

3x^4+15x^2-17=0

解答

3 x^{4} + 15 x^{2} - 17 = 0

解答

x = \frac{- 15 + 429}{6}, x = - \frac{- 15 + 429}{6}, x = \frac{- 15 - 429}{6}, x = - \frac{- 15 - 429}{6}

求解步骤

3 x^{4} + 15 x^{2} - 17 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

3 u^{2} + 15 u - 17 = 0

解

3 u^{2} + 15 u - 17 = 0 : u = \frac{- 15 + 429}{6}, u = \frac{- 15 - 429}{6}

u = \frac{- 15 + 429}{6}, u = \frac{- 15 - 429}{6}

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{- 15 + 429}{6} : x = \frac{- 15 + 429}{6}, x = - \frac{- 15 + 429}{6}

解

x^{2} = \frac{- 15 - 429}{6} : x = \frac{- 15 - 429}{6}, x = - \frac{- 15 - 429}{6}

解为

x = \frac{- 15 + 429}{6}, x = - \frac{- 15 + 429}{6}, x = \frac{- 15 - 429}{6}, x = - \frac{- 15 - 429}{6}

作图

流行的例子

-x^3+4x^2-6x+4=0

- x^{3} + 4 x^{2} - 6 x + 4 = 0

12y^3+24y^2=3y+6

12 y^{3} + 24 y^{2} = 3 y + 6

x(x+10)(x^2-5)=0

x (x + 10) (x^{2} - 5) = 0

x^3+3x^2-14x-42=0

x^{3} + 3 x^{2} - 14 x - 42 = 0

a^{9} = 17 + (9 - 1) - 8