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人気のある代数 >

9x^4-40x^2+16=0

解

9 x^{4} - 40 x^{2} + 16 = 0

解

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

+1

十進法表記

x = 2, x = - 2, x = 0.66666 \dots, x = - 0.66666 \dots

解答ステップ

9 x^{4} - 40 x^{2} + 16 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

9 u^{2} - 40 u + 16 = 0

解く

9 u^{2} - 40 u + 16 = 0 : u = 4, u = \frac{4}{9}

u = 4, u = \frac{4}{9}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 4 : x = 2, x = - 2

解く

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

解答は

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

グラフ

人気の例

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