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人気のある代数 >

4x^4-5x^2+1=0

解

4 x^{4} - 5 x^{2} + 1 = 0

解

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

+1

十進法表記

x = 1, x = - 1, x = 0.5, x = - 0.5

解答ステップ

4 x^{4} - 5 x^{2} + 1 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

4 u^{2} - 5 u + 1 = 0

解く

4 u^{2} - 5 u + 1 = 0 : u = 1, u = \frac{1}{4}

u = 1, 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} = 1 : x = 1, x = - 1

解く

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

解答は

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

グラフ

人気の例

y^{4} - 13 y^{2} + 36 = 0

x^{6} + 63 x^{3} - 64 = 0

5 (x - 1)^{3} = 18

-x^3+3x^2+18x=0

- x^{3} + 3 x^{2} + 18 x = 0

4 x^{4} - 3 = 2 x + 1