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人気のある代数 >

x^4-11x^2+28=0

解

x^{4} - 11 x^{2} + 28 = 0

解

x = 7, x = - 7, x = 2, x = - 2

+1

十進法表記

x = 2.64575 \dots, x = - 2.64575 \dots, x = 2, x = - 2

解答ステップ

x^{4} - 11 x^{2} + 28 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 11 u + 28 = 0

解く

u^{2} - 11 u + 28 = 0 : u = 7, u = 4

u = 7, u = 4

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 7 : x = 7, x = - 7

解く

x^{2} = 4 : x = 2, x = - 2

解答は

x = 7, x = - 7, x = 2, x = - 2

グラフ

人気の例

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

x^3-12x^2+35x=0

x^{3} - 12 x^{2} + 35 x = 0

x^{3} - x^{2} - 2 x - 1 = 0

z^{8} = 16

-x^3+5x^2-10x+10=0

- x^{3} + 5 x^{2} - 10 x + 10 = 0