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人気のある代数 >

25x^4-241x^2+144=0

解

25 x^{4} - 241 x^{2} + 144 = 0

解

x = 3, x = - 3, x = \frac{4}{5}, x = - \frac{4}{5}

+1

十進法表記

x = 3, x = - 3, x = 0.8, x = - 0.8

解答ステップ

25 x^{4} - 241 x^{2} + 144 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

25 u^{2} - 241 u + 144 = 0

解く

25 u^{2} - 241 u + 144 = 0 : u = 9, u = \frac{16}{25}

u = 9, u = \frac{16}{25}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 9 : x = 3, x = - 3

解く

x^{2} = \frac{16}{25} : x = \frac{4}{5}, x = - \frac{4}{5}

解答は

x = 3, x = - 3, x = \frac{4}{5}, x = - \frac{4}{5}

グラフ

人気の例

w^{3} = - i

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x^{4} + x^{2} - 6 = 0

x^3-5x^2+80-16x=0

x^{3} - 5 x^{2} + 80 - 16 x = 0