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^4-2x^2+8=0

解

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

解

x = \frac{1 + 2 2}{2} + \frac{7}{2 1 + 2 2} i, x = - \frac{1 + 2 2}{2} - \frac{7}{2 1 + 2 2} i, x = \frac{1 + 2 2}{2} - \frac{7}{2 1 + 2 2} i, x = - \frac{1 + 2 2}{2} + \frac{7}{2 1 + 2 2} i

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

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

解く

u^{2} - 2 u + 8 = 0 : u = 1 + 7 i, u = 1 - 7 i

u = 1 + 7 i, u = 1 - 7 i

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 1 + 7 i : x = \frac{1 + 2 2}{2} + \frac{7}{2 1 + 2 2} i, x = - \frac{1 + 2 2}{2} - \frac{7}{2 1 + 2 2} i

解く

x^{2} = 1 - 7 i : x = \frac{1 + 2 2}{2} - \frac{7}{2 1 + 2 2} i, x = - \frac{1 + 2 2}{2} + \frac{7}{2 1 + 2 2} i

解答は

x = \frac{1 + 2 2}{2} + \frac{7}{2 1 + 2 2} i, x = - \frac{1 + 2 2}{2} - \frac{7}{2 1 + 2 2} i, x = \frac{1 + 2 2}{2} - \frac{7}{2 1 + 2 2} i, x = - \frac{1 + 2 2}{2} + \frac{7}{2 1 + 2 2} i

グラフ

人気の例

627x^{59}xa=487x^{36}xb

627 x^{59} x a = 487 x^{36} x b

根 x^3+3x^2-4x-12=0

roo t s x^{3} + 3 x^{2} - 4 x - 12 = 0

x^3-5/6 x^2+35/6 x+1=0

x^{3} - \frac{5}{6} x^{2} + \frac{35}{6} x + 1 = 0

z^{12} = 1

x^3-14x^2+12x+12=0

x^{3} - 14 x^{2} + 12 x + 12 = 0