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 >

16x^4-4x^2=0

解

16 x^{4} - 4 x^{2} = 0

解

x = \frac{1}{2}, x = - \frac{1}{2}, x = 0

+1

十進法表記

x = 0.5, x = - 0.5, x = 0

解答ステップ

16 x^{4} - 4 x^{2} = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

16 u^{2} - 4 u = 0

解く

16 u^{2} - 4 u = 0 : u = \frac{1}{4}, u = 0

u = \frac{1}{4}, u = 0

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{1}{4} : x = \frac{1}{2}, x = - \frac{1}{2}

解く

x^{2} = 0 : x = 0

解答は

x = \frac{1}{2}, x = - \frac{1}{2}, x = 0

グラフ

人気の例

(x^2-2)^2=(x+3)(x-3)

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

u^{7} - 36 u^{5} = 0

x^3+14x^2+89x+76=0

x^{3} + 14 x^{2} + 89 x + 76 = 0

x^{4} - x - 3 = 0

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