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人気のある代数 >

36x^4-25x^2+4=0

解

36 x^{4} - 25 x^{2} + 4 = 0

解

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

+1

十進法表記

x = 0.66666 \dots, x = - 0.66666 \dots, x = 0.5, x = - 0.5

解答ステップ

36 x^{4} - 25 x^{2} + 4 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

36 u^{2} - 25 u + 4 = 0

解く

36 u^{2} - 25 u + 4 = 0 : u = \frac{4}{9}, u = \frac{1}{4}

u = \frac{4}{9}, u = \frac{1}{4}

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{1}{4} : x = \frac{1}{2}, x = - \frac{1}{2}

解答は

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

グラフ

人気の例

165 = 5 x^{3}

2 = 6 x^{5}

0=-x^3-3x^2+54x

0 = - x^{3} - 3 x^{2} + 54 x

x^{3} + 7 x - 6 = 0

- 6 + x^{3} = 0