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人気のある代数 >

-7x^2-8+x^4=0

解

- 7 x^{2} - 8 + x^{4} = 0

解

x = 22, x = - 22, x = i, x = - i

解答ステップ

- 7 x^{2} - 8 + x^{4} = 0

標準的な形式で書く

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

x^{4} - 7 x^{2} - 8 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 7 u - 8 = 0

解く

u^{2} - 7 u - 8 = 0 : u = 8, u = - 1

u = 8, u = - 1

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 8 : x = 22, x = - 22

解く

x^{2} = - 1 : x = i, x = - i

解答は

x = 22, x = - 22, x = i, x = - i

グラフ

人気の例

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

6 x^{3} - x^{2} = 12 x

-4y^3+300y^2-250000=0

- 4 y^{3} + 300 y^{2} - 250000 = 0

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

x^{10}+5x^5+6=0

x^{10} + 5 x^{5} + 6 = 0