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人気のある代数 >

(x^2-1)*(x^2-12)+24=0

解

(x^{2} - 1) \cdot (x^{2} - 12) + 24 = 0

解

x = 3, x = - 3, x = 2, x = - 2

解答ステップ

(x^{2} - 1) (x^{2} - 12) + 24 = 0

拡張

(x^{2} - 1) (x^{2} - 12) + 24 : x^{4} - 13 x^{2} + 36

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 13 u + 36 = 0

解く

u^{2} - 13 u + 36 = 0 : u = 9, u = 4

u = 9, u = 4

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

解答は

x = 3, x = - 3, x = 2, x = - 2

グラフ

人気の例

x^{10} = 263

a^3+(-b^2)=x^3+1

a^{3} + (- b^{2}) = x^{3} + 1

x^{3} - 7 (x^{2}) + 6 = 0

(2 x + 1)^{3} = - 8

n^{3} = (n)^{2}