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 >

u^4-5u^2+6=0

解

u^{4} - 5 u^{2} + 6 = 0

解

u = 3, u = - 3, u = 2, u = - 2

+1

十進法表記

u = 1.73205 \dots, u = - 1.73205 \dots, u = 1.41421 \dots, u = - 1.41421 \dots

解答ステップ

u^{4} - 5 u^{2} + 6 = 0

equationを

v = u^{2}

と以下で書き換える:

v^{2} = u^{4}

v^{2} - 5 v + 6 = 0

解く

v^{2} - 5 v + 6 = 0 : v = 3, v = 2

v = 3, v = 2

再び

v = u^{2}

に置き換えて以下を解く:

u

解く

u^{2} = 3 : u = 3, u = - 3

解く

u^{2} = 2 : u = 2, u = - 2

解答は

u = 3, u = - 3, u = 2, u = - 2

グラフ

人気の例

8x^3-12x^2-24x=0

8 x^{3} - 12 x^{2} - 24 x = 0

x^{3} + 9 x - 8 = 0

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

x^4+x^3+2x^2-x=4.1151

x^{4} + x^{3} + 2 x^{2} - x = 4.1151

solvefor x,y^2=Cx^3-1

so l v e f or x, y^{2} = C x^{3} - 1