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人気のある代数 >

s^4+8s^2+11=0

解

s^{4} + 8 s^{2} + 11 = 0

解

s = 4 - 5 i, s = - 4 - 5 i, s = 4 + 5 i, s = - 4 + 5 i

解答ステップ

s^{4} + 8 s^{2} + 11 = 0

equationを

u = s^{2}

と以下で書き換える:

u^{2} = s^{4}

u^{2} + 8 u + 11 = 0

解く

u^{2} + 8 u + 11 = 0 : u = - 4 + 5, u = - 4 - 5

u = - 4 + 5, u = - 4 - 5

再び

u = s^{2}

に置き換えて以下を解く:

s

解く

s^{2} = - 4 + 5 : s = 4 - 5 i, s = - 4 - 5 i

解く

s^{2} = - 4 - 5 : s = 4 + 5 i, s = - 4 + 5 i

解答は

s = 4 - 5 i, s = - 4 - 5 i, s = 4 + 5 i, s = - 4 + 5 i

グラフ

人気の例

(x^3-6)^2+3(x^3-6)-10=0

(x^{3} - 6)^{2} + 3 (x^{3} - 6) - 10 = 0

3 c^{3} + 9 = - 72

y^{3} - 5 y^{2} = 0

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z^{3} + 2 z^{2} + 21 z - 58 = 0

x^3+4x^2-36x-144=0

x^{3} + 4 x^{2} - 36 x - 144 = 0