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人気のある代数 >

x^2+(x^2-4)^2=16

解

x^{2} + (x^{2} - 4)^{2} = 16

解

x = 7, x = - 7, x = 0

+1

十進法表記

x = 2.64575 \dots, x = - 2.64575 \dots, x = 0

解答ステップ

x^{2} + (x^{2} - 4)^{2} = 16

拡張

x^{2} + (x^{2} - 4)^{2} : x^{4} - 7 x^{2} + 16

x^{4} - 7 x^{2} + 16 = 16

16

を左側に移動します

x^{4} - 7 x^{2} = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 7 u = 0

解く

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

u = 7, u = 0

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} = 0 : x = 0

解答は

x = 7, x = - 7, x = 0

グラフ

人気の例

x^{6} = 256

2x^4+7x^2-225=0

2 x^{4} + 7 x^{2} - 225 = 0

3x^3-15x^2+18x=0

3 x^{3} - 15 x^{2} + 18 x = 0

solvefor y,x=2y^3+3

so l v e f or y, x = 2 y^{3} + 3

2 x^{3} = 1