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 >

r^4+9r^2=0

解

r^{4} + 9 r^{2} = 0

解

r = 0, r = 3 i, r = - 3 i

解答ステップ

r^{4} + 9 r^{2} = 0

equationを

u = r^{2}

と以下で書き換える:

u^{2} = r^{4}

u^{2} + 9 u = 0

解く

u^{2} + 9 u = 0 : u = 0, u = - 9

u = 0, u = - 9

再び

u = r^{2}

に置き換えて以下を解く:

r

解く

r^{2} = 0 : r = 0

解く

r^{2} = - 9 : r = 3 i, r = - 3 i

解答は

r = 0, r = 3 i, r = - 3 i

グラフ

人気の例

x (x - 2)^{2} - 3 = 7

2x^3-15x^2+27x-10=0

2 x^{3} - 15 x^{2} + 27 x - 10 = 0

(7-y^2)^3=(10-y^3)^2

(7 - y^{2})^{3} = (10 - y^{3})^{2}

2 x = x (x - 3)^{2}

(2 x + 7)^{3} + 31 = 4