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^2(x^4-9)=8x^4

解答

x^{2} (x^{4} - 9) = 8 x^{4}

解答

x = 0, x = i, x = - i, x = - 3, x = 3

求解步骤

x^{2} (x^{4} - 9) = 8 x^{4}

将

8 x^{4}

para o lado esquerdo

x^{2} (x^{4} - 9) - 8 x^{4} = 0

因式分解

x^{2} (x^{4} - 9) - 8 x^{4} : x^{2} (x^{2} + 1) (x + 3) (x - 3)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x^{2} + 1 = 0 : x = i, x = - i

解

x + 3 = 0 : x = - 3

解

x - 3 = 0 : x = 3

解为

x = 0, x = i, x = - i, x = - 3, x = 3

作图

流行的例子

45z^3+18z^2-5z-2=0

45 z^{3} + 18 z^{2} - 5 z - 2 = 0

-x^3-2x^2-4x-8=0

- x^{3} - 2 x^{2} - 4 x - 8 = 0

5 x^{4} + 3 x^{2} = 0

9x^6+6x^4-10000=0

9 x^{6} + 6 x^{4} - 10000 = 0

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