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^{12}=8

解

x^{12} = 8

解

x = 2, x = - 2, x = 2 i, x = - 2 i, x = \frac{\frac{3}{2}}{4 2} + \frac{1}{4 2 ^{3}} i, x = - \frac{\frac{3}{2}}{4 2} - \frac{1}{4 2 ^{3}} i, x = - \frac{\frac{3}{2}}{4 2 3} + \frac{3}{4 2 ^{3}} i, x = \frac{\frac{3}{2}}{4 2 3} - \frac{3}{4 2 ^{3}} i, x = \frac{\frac{3}{2}}{4 2 3} + \frac{3}{4 2 ^{3}} i, x = - \frac{\frac{3}{2}}{4 2 3} - \frac{3}{4 2 ^{3}} i, x = - \frac{\frac{3}{2}}{4 2} + \frac{1}{4 2 ^{3}} i, x = \frac{\frac{3}{2}}{4 2} - \frac{1}{4 2 ^{3}} i

解答ステップ

x^{12} = 8

equationを

u = x^{2}

と以下で書き換える:

u^{6} = x^{12}

u^{6} = 8

解く

u^{6} = 8 : u = 2, u = - 2, u = \frac{1}{2} + \frac{3}{2} i, u = - \frac{1}{2} - \frac{3}{2} i, u = - \frac{1}{2} + \frac{3}{2} i, u = \frac{3}{2 \frac{3}{2}} - \frac{3}{2} i

u = 2, u = - 2, u = \frac{1}{2} + \frac{3}{2} i, u = - \frac{1}{2} - \frac{3}{2} i, u = - \frac{1}{2} + \frac{3}{2} i, u = \frac{3}{2 \frac{3}{2}} - \frac{3}{2} i

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = - 2 : x = 2 i, x = - 2 i

解く

x^{2} = \frac{1}{2} + \frac{3}{2} i : x = \frac{\frac{3}{2}}{4 2} + \frac{1}{4 2 ^{3}} i, x = - \frac{\frac{3}{2}}{4 2} - \frac{1}{4 2 ^{3}} i

解く

x^{2} = - \frac{1}{2} - \frac{3}{2} i : x = - \frac{\frac{3}{2}}{4 2 3} + \frac{3}{4 2 ^{3}} i, x = \frac{\frac{3}{2}}{4 2 3} - \frac{3}{4 2 ^{3}} i

解く

x^{2} = - \frac{1}{2} + \frac{3}{2} i : x = \frac{\frac{3}{2}}{4 2 3} + \frac{3}{4 2 ^{3}} i, x = - \frac{\frac{3}{2}}{4 2 3} - \frac{3}{4 2 ^{3}} i

解く

x^{2} = \frac{3}{2 \frac{3}{2}} - \frac{3}{2} i : x = - \frac{\frac{3}{2}}{4 2} + \frac{1}{4 2 ^{3}} i, x = \frac{\frac{3}{2}}{4 2} - \frac{1}{4 2 ^{3}} i

解答は

x = 2, x = - 2, x = 2 i, x = - 2 i, x = \frac{\frac{3}{2}}{4 2} + \frac{1}{4 2 ^{3}} i, x = - \frac{\frac{3}{2}}{4 2} - \frac{1}{4 2 ^{3}} i, x = - \frac{\frac{3}{2}}{4 2 3} + \frac{3}{4 2 ^{3}} i, x = \frac{\frac{3}{2}}{4 2 3} - \frac{3}{4 2 ^{3}} i, x = \frac{\frac{3}{2}}{4 2 3} + \frac{3}{4 2 ^{3}} i, x = - \frac{\frac{3}{2}}{4 2 3} - \frac{3}{4 2 ^{3}} i, x = - \frac{\frac{3}{2}}{4 2} + \frac{1}{4 2 ^{3}} i, x = \frac{\frac{3}{2}}{4 2} - \frac{1}{4 2 ^{3}} i

グラフ

人気の例

(2 + 3) \cdot x^{4} = 20

15 x^{4} - 20 x^{3} = 0

x^{3} - 11 x^{2} + 30 = 0

M=(x+5)(x-5)(x^2+25)+625

M = (x + 5) (x - 5) (x^{2} + 25) + 625

2 x^{4} = + 6 (0.6 - 4)