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人気のある代数 >

x^4-3x^2=0

解

x^{4} - 3 x^{2} = 0

解

x = 3, x = - 3, x = 0

+1

十進法表記

x = 1.73205 \dots, x = - 1.73205 \dots, x = 0

解答ステップ

x^{4} - 3 x^{2} = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 3 u = 0

解く

u^{2} - 3 u = 0 : u = 3, u = 0

u = 3, u = 0

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = 0 : x = 0

解答は

x = 3, x = - 3, x = 0

グラフ

人気の例

y^{3} + 8 = 0

(x^{2} - 4)^{2} = 0

- 3 \cdot 4 + 25 = - 5 + x^{6}

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

2x^1+6x^2-2x^3=-5

2 x^{1} + 6 x^{2} - 2 x^{3} = - 5