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人気のある代数 >

x^4+5=6x^2

解

x^{4} + 5 = 6 x^{2}

解

x = 5, x = - 5, x = 1, x = - 1

+1

十進法表記

x = 2.23606 \dots, x = - 2.23606 \dots, x = 1, x = - 1

解答ステップ

x^{4} + 5 = 6 x^{2}

6 x^{2}

を左側に移動します

x^{4} + 5 - 6 x^{2} = 0

標準的な形式で書く

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

x^{4} - 6 x^{2} + 5 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 6 u + 5 = 0

解く

u^{2} - 6 u + 5 = 0 : u = 5, u = 1

u = 5, u = 1

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} = 1 : x = 1, x = - 1

解答は

x = 5, x = - 5, x = 1, x = - 1

グラフ

人気の例

- 0.2 x^{3} + x + 4 = 0

x^{3} - 17 x + 29 = 0

x - \cdot x^{4} = x^{12}

x^{3} - 13 x^{2} = 0

m^{5} - 2 m^{4} - m + 2 = 0