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 >

(72)4=n^8

解

(72) 4 = n^{8}

解

n = 2342, n = - 2342, n = 8 2^{5} 43 i, n = - 8 2^{5} 43 i, n = 4382 + 8243 i, n = - 4382 - 8243 i, n = 4382 - 8243 i, n = - 4382 + 4382 i

解答ステップ

(72) \cdot 4 = n^{8}

辺を交換する

n^{8} = (72) \cdot 4

簡素化

(72) \cdot 4 : 288

equationを

u = n^{2}

と以下で書き換える:

u^{4} = n^{8}

u^{4} = 288

解く

u^{4} = 288 : u = 2342, u = - 2342, u = 2342 i, u = - 2342 i

u = 2342, u = - 2342, u = 2342 i, u = - 2342 i

再び

u = n^{2}

に置き換えて以下を解く:

n

解く

n^{2} = 2342 : n = 2342, n = - 2342

解く

n^{2} = - 2342 : n = 8 2^{5} 43 i, n = - 8 2^{5} 43 i

解く

n^{2} = 2342 i : n = 4382 + 8243 i, n = - 4382 - 8243 i

解く

n^{2} = - 2342 i : n = 4382 - 8243 i, n = - 4382 + 4382 i

解答は

n = 2342, n = - 2342, n = 8 2^{5} 43 i, n = - 8 2^{5} 43 i, n = 4382 + 8243 i, n = - 4382 - 8243 i, n = 4382 - 8243 i, n = - 4382 + 4382 i

グラフ

人気の例

solvefor x,x^3-6y=8

so l v e f or x, x^{3} - 6 y = 8

9m^3-54m^2+72=0

9 m^{3} - 54 m^{2} + 72 = 0

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

2 x^{4} + 3 x^{2} - 20 = 0

x^{4} - 2 x^{2} - 15 = 0