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人気のある代数 >

x^4+2x^2-48=0

解

x^{4} + 2 x^{2} - 48 = 0

解

x = 6, x = - 6, x = 22 i, x = - 22 i

解答ステップ

x^{4} + 2 x^{2} - 48 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} + 2 u - 48 = 0

解く

u^{2} + 2 u - 48 = 0 : u = 6, u = - 8

u = 6, u = - 8

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 6 : x = 6, x = - 6

解く

x^{2} = - 8 : x = 22 i, x = - 22 i

解答は

x = 6, x = - 6, x = 22 i, x = - 22 i

グラフ

人気の例

3z^3-2z^2+2z+1=0

3 z^{3} - 2 z^{2} + 2 z + 1 = 0

u^{4} - 5 u^{2} + 6 = 0

8x^3-12x^2-24x=0

8 x^{3} - 12 x^{2} - 24 x = 0

x^{3} + 9 x - 8 = 0

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