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人気のある代数 >

16x^4-121x^2=0

解

16 x^{4} - 121 x^{2} = 0

解

x = \frac{11}{4}, x = - \frac{11}{4}, x = 0

+1

十進法表記

x = 2.75, x = - 2.75, x = 0

解答ステップ

16 x^{4} - 121 x^{2} = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

16 u^{2} - 121 u = 0

解く

16 u^{2} - 121 u = 0 : u = \frac{121}{16}, u = 0

u = \frac{121}{16}, u = 0

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{121}{16} : x = \frac{11}{4}, x = - \frac{11}{4}

解く

x^{2} = 0 : x = 0

解答は

x = \frac{11}{4}, x = - \frac{11}{4}, x = 0

グラフ

人気の例

-x^4+4x^3-18x^2+16x+8=0

- x^{4} + 4 x^{3} - 18 x^{2} + 16 x + 8 = 0

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473 = \frac{7 π x ^{3}}{48}

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