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人気のある代数 >

27x^4+60x^2=32

解

27 x^{4} + 60 x^{2} = 32

解

x = \frac{2}{3}, x = - \frac{2}{3}, x = \frac{2 2}{3} i, x = - \frac{2 2}{3} i

解答ステップ

27 x^{4} + 60 x^{2} = 32

32

を左側に移動します

27 x^{4} + 60 x^{2} - 32 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

27 u^{2} + 60 u - 32 = 0

解く

27 u^{2} + 60 u - 32 = 0 : u = \frac{4}{9}, u = - \frac{8}{3}

u = \frac{4}{9}, u = - \frac{8}{3}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{4}{9} : x = \frac{2}{3}, x = - \frac{2}{3}

解く

x^{2} = - \frac{8}{3} : x = \frac{2 2}{3} i, x = - \frac{2 2}{3} i

解答は

x = \frac{2}{3}, x = - \frac{2}{3}, x = \frac{2 2}{3} i, x = - \frac{2 2}{3} i

グラフ

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