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人気のある代数 >

x^2(x^2-9)=-20

解

x^{2} (x^{2} - 9) = - 20

解

x = 5, x = - 5, x = 2, x = - 2

+1

十進法表記

x = 2.23606 \dots, x = - 2.23606 \dots, x = 2, x = - 2

解答ステップ

x^{2} (x^{2} - 9) = - 20

拡張

x^{2} (x^{2} - 9) : x^{4} - 9 x^{2}

x^{4} - 9 x^{2} = - 20

20

を左側に移動します

x^{4} - 9 x^{2} + 20 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 9 u + 20 = 0

解く

u^{2} - 9 u + 20 = 0 : u = 5, u = 4

u = 5, u = 4

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

x = 5, x = - 5, x = 2, x = - 2

グラフ

人気の例

(x - 1)^{3} = x - 1

2 (x - 2)^{3} + 8 = 136

x^3-11x^2+32x-28=0

x^{3} - 11 x^{2} + 32 x - 28 = 0

3x^3-4x^2+4x=16

3 x^{3} - 4 x^{2} + 4 x = 16

(3-x)^5+(x-5)^5=-32

(3 - x)^{5} + (x - 5)^{5} = - 32