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人気のある代数 >

2x^6+88x^2=30x^4

解

2 x^{6} + 88 x^{2} = 30 x^{4}

解

x = 0, x = 2, x = - 2, x = 11, x = - 11

+1

十進法表記

x = 0, x = 2, x = - 2, x = 3.31662 \dots, x = - 3.31662 \dots

解答ステップ

2 x^{6} + 88 x^{2} = 30 x^{4}

30 x^{4}

を左側に移動します

2 x^{6} + 88 x^{2} - 30 x^{4} = 0

標準的な形式で書く

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

2 x^{6} - 30 x^{4} + 88 x^{2} = 0

equationを

u = x^{2}, u^{2} = x^{4}

と以下で書き換える:

u^{3} = x^{6}

2 u^{3} - 30 u^{2} + 88 u = 0

解く

2 u^{3} - 30 u^{2} + 88 u = 0 : u = 0, u = 4, u = 11

u = 0, u = 4, u = 11

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 0 : x = 0

解く

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

解く

x^{2} = 11 : x = 11, x = - 11

解答は

x = 0, x = 2, x = - 2, x = 11, x = - 11

グラフ

人気の例

2(x+7)(25x^2-49)=0

2 (x + 7) (25 x^{2} - 49) = 0

x^9+3x^6+3x^3-16x-7=0

x^{9} + 3 x^{6} + 3 x^{3} - 16 x - 7 = 0

x^3-3x^2-9x+11=0

x^{3} - 3 x^{2} - 9 x + 11 = 0

x x^{2} + 6 x + 8 = 0

x^{3} - 28 = 100