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^4-8x^2+3=0

解

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

解

x = 4 + 13, x = - 4 + 13, x = 4 - 13, x = - 4 - 13

+1

十進法表記

x = 2.75781 \dots, x = - 2.75781 \dots, x = 0.62805 \dots, x = - 0.62805 \dots

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 8 u + 3 = 0

解く

u^{2} - 8 u + 3 = 0 : u = 4 + 13, u = 4 - 13

u = 4 + 13, u = 4 - 13

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 4 + 13 : x = 4 + 13, x = - 4 + 13

解く

x^{2} = 4 - 13 : x = 4 - 13, x = - 4 - 13

解答は

x = 4 + 13, x = - 4 + 13, x = 4 - 13, x = - 4 - 13

グラフ

人気の例

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

x^{5} = 100 x^{3}

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

x^4+x^3+x^2+x-1=0

x^{4} + x^{3} + x^{2} + x - 1 = 0

q^{3} = \frac{1}{8}