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人気のある代数 >

(p^2-6)^2-8p^2=0

解

(p^{2} - 6)^{2} - 8 p^{2} = 0

解

p = 32, p = - 32, p = 2, p = - 2

+1

十進法表記

p = 4.24264 \dots, p = - 4.24264 \dots, p = 1.41421 \dots, p = - 1.41421 \dots

解答ステップ

(p^{2} - 6)^{2} - 8 p^{2} = 0

拡張

(p^{2} - 6)^{2} - 8 p^{2} : p^{4} - 20 p^{2} + 36

p^{4} - 20 p^{2} + 36 = 0

equationを

u = p^{2}

と以下で書き換える:

u^{2} = p^{4}

u^{2} - 20 u + 36 = 0

解く

u^{2} - 20 u + 36 = 0 : u = 18, u = 2

u = 18, u = 2

再び

u = p^{2}

に置き換えて以下を解く:

p

解く

p^{2} = 18 : p = 32, p = - 32

解く

p^{2} = 2 : p = 2, p = - 2

解答は

p = 32, p = - 32, p = 2, p = - 2

グラフ

人気の例

1 + x^{2} + x^{4} = 0

z^{3} = 8

10000*x^{50}=1000000

10000 \cdot x^{50} = 1000000

x^{3} - 9 = 0

4 x^{2} + 15 x^{9} = 0