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人気のある代数 >

x^4+6x^2-91=0

解

x^{4} + 6 x^{2} - 91 = 0

解

x = 7, x = - 7, x = 13 i, x = - 13 i

解答ステップ

x^{4} + 6 x^{2} - 91 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} + 6 u - 91 = 0

解く

u^{2} + 6 u - 91 = 0 : u = 7, u = - 13

u = 7, u = - 13

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} = - 13 : x = 13 i, x = - 13 i

解答は

x = 7, x = - 7, x = 13 i, x = - 13 i

グラフ

人気の例

因数 x^3+512=0

f a c t or x^{3} + 512 = 0

x^4-2x^3-10x^2+18x+9=0

x^{4} - 2 x^{3} - 10 x^{2} + 18 x + 9 = 0

x^{5} = - 243

0=x^5-2.2x^4-6.61x^3+8.602x^2

0 = x^{5} - 2.2 x^{4} - 6.61 x^{3} + 8.602 x^{2}

x^{6} - 5 x^{3} + 6 = 0