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 >

x^4-41x^2+400=0

解

x^{4} - 41 x^{2} + 400 = 0

解

x = 5, x = - 5, x = 4, x = - 4

解答ステップ

x^{4} - 41 x^{2} + 400 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 41 u + 400 = 0

解く

u^{2} - 41 u + 400 = 0 : u = 25, u = 16

u = 25, u = 16

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 25 : x = 5, x = - 5

解く

x^{2} = 16 : x = 4, x = - 4

解答は

x = 5, x = - 5, x = 4, x = - 4

グラフ

人気の例

w^{4} - 18 w^{2} + 81 = 0

x^{6} - 26 x^{3} - 27 = 0

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

4 (x^{4} + 1) = 5 x^{2}

x^{3} = x^{2}