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^8=48

解

x^{8} = 48

解

x = 283, x = - 283, x = 283 i, x = - 283 i, x = 43 + 83 i, x = - 43 - 83 i, x = 43 - 83 i, x = - 43 + 83 i

解答ステップ

x^{8} = 48

equationを

u = x^{2}

と以下で書き換える:

u^{4} = x^{8}

u^{4} = 48

解く

u^{4} = 48 : u = 243, u = - 243, u = 23 i, u = - 23 i

u = 243, u = - 243, u = 23 i, u = - 23 i

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 243 : x = 283, x = - 283

解く

x^{2} = - 243 : x = 283 i, x = - 283 i

解く

x^{2} = 23 i : x = 43 + 83 i, x = - 43 - 83 i

解く

x^{2} = - 23 i : x = 43 - 83 i, x = - 43 + 83 i

解答は

x = 283, x = - 283, x = 283 i, x = - 283 i, x = 43 + 83 i, x = - 43 - 83 i, x = 43 - 83 i, x = - 43 + 83 i

グラフ

人気の例

u^{3} - 1 = 1

87 = 13 \cdot (1 + x)^{3}

186 = - 3 y^{3} - 6

4x^7+7x^4+5x^2-10=x^5

4 x^{7} + 7 x^{4} + 5 x^{2} - 10 = x^{5}

-x^3+27x^2-127x-699=0

- x^{3} + 27 x^{2} - 127 x - 699 = 0