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人気のある代数 >

a^4+a^2+4=0

解

a^{4} + a^{2} + 4 = 0

解

a = \frac{3}{2} + \frac{5}{2} i, a = - \frac{3}{2} - \frac{5}{2} i, a = \frac{3}{2} - \frac{5}{2} i, a = - \frac{3}{2} + \frac{5}{2} i

解答ステップ

a^{4} + a^{2} + 4 = 0

equationを

u = a^{2}

と以下で書き換える:

u^{2} = a^{4}

u^{2} + u + 4 = 0

解く

u^{2} + u + 4 = 0 : u = - \frac{1}{2} + i \frac{15}{2}, u = - \frac{1}{2} - i \frac{15}{2}

u = - \frac{1}{2} + i \frac{15}{2}, u = - \frac{1}{2} - i \frac{15}{2}

再び

u = a^{2}

に置き換えて以下を解く:

a

解く

a^{2} = - \frac{1}{2} + i \frac{15}{2} : a = \frac{3}{2} + \frac{5}{2} i, a = - \frac{3}{2} - \frac{5}{2} i

解く

a^{2} = - \frac{1}{2} - i \frac{15}{2} : a = \frac{3}{2} - \frac{5}{2} i, a = - \frac{3}{2} + \frac{5}{2} i

解答は

a = \frac{3}{2} + \frac{5}{2} i, a = - \frac{3}{2} - \frac{5}{2} i, a = \frac{3}{2} - \frac{5}{2} i, a = - \frac{3}{2} + \frac{5}{2} i

グラフ

人気の例

y^{7} + y^{2} - 8 = 0

x^4-7x^2+x^3-x+4=0

x^{4} - 7 x^{2} + x^{3} - x + 4 = 0

0=12x^3-48x^2+36x

0 = 12 x^{3} - 48 x^{2} + 36 x

x^4+8x^3+14x^2-2x+1=0

x^{4} + 8 x^{3} + 14 x^{2} - 2 x + 1 = 0

m^{3} + m^{2} + 4 m + 4 = 0