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人気のある代数 >

(x^2+3)^2+7x^2+21=-10

解

(x^{2} + 3)^{2} + 7 x^{2} + 21 = - 10

解

x = 5 i, x = - 5 i, x = 22 i, x = - 22 i

解答ステップ

(x^{2} + 3)^{2} + 7 x^{2} + 21 = - 10

拡張

(x^{2} + 3)^{2} + 7 x^{2} + 21 : x^{4} + 13 x^{2} + 30

x^{4} + 13 x^{2} + 30 = - 10

10

を左側に移動します

x^{4} + 13 x^{2} + 40 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} + 13 u + 40 = 0

解く

u^{2} + 13 u + 40 = 0 : u = - 5, u = - 8

u = - 5, u = - 8

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = - 5 : x = 5 i, x = - 5 i

解く

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

解答は

x = 5 i, x = - 5 i, x = 22 i, x = - 22 i

グラフ

人気の例

5 y (y - 4) (y - 7) = 0

8 - x^{3} = 0

x^7-28x^4+27x=0

x^{7} - 28 x^{4} + 27 x = 0

x^{3} = 5 x^{2}

18x^3-27x^2-50x+75=0

18 x^{3} - 27 x^{2} - 50 x + 75 = 0