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 >

m^4+m^2+1=0

解

m^{4} + m^{2} + 1 = 0

解

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

解答ステップ

m^{4} + m^{2} + 1 = 0

equationを

u = m^{2}

と以下で書き換える:

u^{2} = m^{4}

u^{2} + u + 1 = 0

解く

u^{2} + u + 1 = 0 : u = - \frac{1}{2} + i \frac{3}{2}, u = - \frac{1}{2} - i \frac{3}{2}

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

再び

u = m^{2}

に置き換えて以下を解く:

m

解く

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

解く

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

解答は

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

グラフ

人気の例

solvefor a,a^3-b^3=0

so l v e f or a, a^{3} - b^{3} = 0

(2x^2-7x)^2+2x^2-7x=20

(2 x^{2} - 7 x)^{2} + 2 x^{2} - 7 x = 20

(x)^3+(3x)^2-x-3=0

(x)^{3} + (3 x)^{2} - x - 3 = 0

(x^2+x+1)^2=x^4+8x^2+1

(x^{2} + x + 1)^{2} = x^{4} + 8 x^{2} + 1

x^{3} + x^{3} = 2