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人気のある代数 >

25x^4-34x^2+9=0

解

25 x^{4} - 34 x^{2} + 9 = 0

解

x = 1, x = - 1, x = \frac{3}{5}, x = - \frac{3}{5}

+1

十進法表記

x = 1, x = - 1, x = 0.6, x = - 0.6

解答ステップ

25 x^{4} - 34 x^{2} + 9 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

25 u^{2} - 34 u + 9 = 0

解く

25 u^{2} - 34 u + 9 = 0 : u = 1, u = \frac{9}{25}

u = 1, u = \frac{9}{25}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 1 : x = 1, x = - 1

解く

x^{2} = \frac{9}{25} : x = \frac{3}{5}, x = - \frac{3}{5}

解答は

x = 1, x = - 1, x = \frac{3}{5}, x = - \frac{3}{5}

グラフ

人気の例

x^4-8x^3+17x^2-8x+1=0

x^{4} - 8 x^{3} + 17 x^{2} - 8 x + 1 = 0

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

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3(x^2-14)(x^2+36)=0

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