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人気のある代数 >

-x^4+2x^2+1=0

解

- x^{4} + 2 x^{2} + 1 = 0

解

x = - 1 + 2 i, x = - - 1 + 2 i, x = 1 + 2, x = - 1 + 2

解答ステップ

- x^{4} + 2 x^{2} + 1 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

- u^{2} + 2 u + 1 = 0

解く

- u^{2} + 2 u + 1 = 0 : u = 1 - 2, u = 1 + 2

u = 1 - 2, u = 1 + 2

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 1 - 2 : x = - 1 + 2 i, x = - - 1 + 2 i

解く

x^{2} = 1 + 2 : x = 1 + 2, x = - 1 + 2

解答は

x = - 1 + 2 i, x = - - 1 + 2 i, x = 1 + 2, x = - 1 + 2

グラフ

人気の例

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

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

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

u^{7} - 36 u^{5} = 0

x^3+14x^2+89x+76=0

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