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人気のある代数 >

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

解

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

解

x = \frac{2}{3}, x = - \frac{2}{3}, x = \frac{1}{3}, x = - \frac{1}{3}

+1

十進法表記

x = 0.81649 \dots, x = - 0.81649 \dots, x = 0.57735 \dots, x = - 0.57735 \dots

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

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

解く

9 u^{2} - 9 u + 2 = 0 : u = \frac{2}{3}, u = \frac{1}{3}

u = \frac{2}{3}, u = \frac{1}{3}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = \frac{1}{3} : x = \frac{1}{3}, x = - \frac{1}{3}

解答は

x = \frac{2}{3}, x = - \frac{2}{3}, x = \frac{1}{3}, x = - \frac{1}{3}

グラフ

人気の例

2 x^{8} - 3 + 5 = 20

x^{2} 2 x^{1} = 0

3 v + 126 = 4 v^{3}

25 x^{4} - 3 = 13

64x^3-112x^2-4x+7=0

64 x^{3} - 112 x^{2} - 4 x + 7 = 0