ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある代数 >

2x^4-81=0

解

2 x^{4} - 81 = 0

解

x = \frac{3}{2}, x = - \frac{3}{2}, x = - \frac{9}{2}, x = - - \frac{9}{2}

解答ステップ

2 x^{4} - 81 = 0

81

を右側に移動します

2 x^{4} = 81

以下で両辺を割る

2

x^{4} = \frac{81}{2}

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = \frac{81}{2}

解く

u^{2} = \frac{81}{2} : u = \frac{81}{2}, u = - \frac{81}{2}

u = \frac{81}{2}, u = - \frac{81}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{81}{2} : x = \frac{3}{2}, x = - \frac{3}{2}

解く

x^{2} = - \frac{81}{2} : x = - \frac{9}{2}, x = - - \frac{9}{2}

解答は

x = \frac{3}{2}, x = - \frac{3}{2}, x = - \frac{9}{2}, x = - - \frac{9}{2}

グラフ

人気の例

(x^2-2)^2-10(x^2-2)+21=0

(x^{2} - 2)^{2} - 10 (x^{2} - 2) + 21 = 0

9x^2-24x^{16}=0

9 x^{2} - 24 x^{16} = 0

x^{3} - 5 x^{2} = 0

x^{100} = 0.31

x^4-7x^2+2x^3-x+4=0

x^{4} - 7 x^{2} + 2 x^{3} - x + 4 = 0