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人気のある代数 >

d^2(d^2+1)=1

解

d^{2} (d^{2} + 1) = 1

解

d = \frac{- 1 + 5}{2}, d = - \frac{- 1 + 5}{2}, d = \frac{- 1 - 5}{2}, d = - \frac{- 1 - 5}{2}

解答ステップ

d^{2} (d^{2} + 1) = 1

拡張

d^{2} (d^{2} + 1) : d^{4} + d^{2}

d^{4} + d^{2} = 1

1

を左側に移動します

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

equationを

u = d^{2}

と以下で書き換える:

u^{2} = d^{4}

u^{2} + u - 1 = 0

解く

u^{2} + u - 1 = 0 : u = \frac{- 1 + 5}{2}, u = \frac{- 1 - 5}{2}

u = \frac{- 1 + 5}{2}, u = \frac{- 1 - 5}{2}

再び

u = d^{2}

に置き換えて以下を解く:

d

解く

d^{2} = \frac{- 1 + 5}{2} : d = \frac{- 1 + 5}{2}, d = - \frac{- 1 + 5}{2}

解く

d^{2} = \frac{- 1 - 5}{2} : d = \frac{- 1 - 5}{2}, d = - \frac{- 1 - 5}{2}

解答は

d = \frac{- 1 + 5}{2}, d = - \frac{- 1 + 5}{2}, d = \frac{- 1 - 5}{2}, d = - \frac{- 1 - 5}{2}

グラフ

人気の例

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