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 >

10x^4-9x^2+2=0

解

10 x^{4} - 9 x^{2} + 2 = 0

解

x = \frac{1}{2}, x = - \frac{1}{2}, x = \frac{2}{5}, x = - \frac{2}{5}

+1

十進法表記

x = 0.70710 \dots, x = - 0.70710 \dots, x = 0.63245 \dots, x = - 0.63245 \dots

解答ステップ

10 x^{4} - 9 x^{2} + 2 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

10 u^{2} - 9 u + 2 = 0

解く

10 u^{2} - 9 u + 2 = 0 : u = \frac{1}{2}, u = \frac{2}{5}

u = \frac{1}{2}, u = \frac{2}{5}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = \frac{2}{5} : x = \frac{2}{5}, x = - \frac{2}{5}

解答は

x = \frac{1}{2}, x = - \frac{1}{2}, x = \frac{2}{5}, x = - \frac{2}{5}

グラフ

人気の例

x^{4} + 6 x^{2} + 25 = 0

x^5-15x^3+10x^2+60x-72=0

x^{5} - 15 x^{3} + 10 x^{2} + 60 x - 72 = 0

x^3-6x^2+5x+12=0

x^{3} - 6 x^{2} + 5 x + 12 = 0

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

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

2(x^2-36)(x^2+49)=0

2 (x^{2} - 36) (x^{2} + 49) = 0