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人気のある代数 >

x^4-x^2-42=0

解

x^{4} - x^{2} - 42 = 0

解

x = 7, x = - 7, x = 6 i, x = - 6 i

解答ステップ

x^{4} - x^{2} - 42 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - u - 42 = 0

解く

u^{2} - u - 42 = 0 : u = 7, u = - 6

u = 7, u = - 6

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} = - 6 : x = 6 i, x = - 6 i

解答は

x = 7, x = - 7, x = 6 i, x = - 6 i

グラフ

人気の例

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

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

m^{3} = 0

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x^{10} - 10 x^{2} + 6 = 0

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

2x^3+2x^2+2x+2=0

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