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人気のある代数 >

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

解

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

解

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

解答ステップ

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

拡張

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

x^{4} - x^{2} - 12 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - u - 12 = 0

解く

u^{2} - u - 12 = 0 : u = 4, u = - 3

u = 4, u = - 3

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

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

グラフ

人気の例

-x^3-3x^2+25x-21=0

- x^{3} - 3 x^{2} + 25 x - 21 = 0

x^{5} - 3 x^{3} + 1 = 0

4 x^{3} + 2 x - 14 = 0

r^{4} + 2 r^{2} + 1 = 0

z^{4} + 2 i z^{2} + 3 = 0