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人気のある代数 >

x^4-8=0

解

x^{4} - 8 = 0

解

x = 4 2^{3}, x = - 4 2^{3}, x = 4 2^{3} i, x = - 4 2^{3} i

解答ステップ

x^{4} - 8 = 0

8

を右側に移動します

x^{4} = 8

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = 8

解く

u^{2} = 8 : u = 8, u = - 8

u = 8, u = - 8

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 8 : x = 4 2^{3}, x = - 4 2^{3}

解く

x^{2} = - 8 : x = 4 2^{3} i, x = - 4 2^{3} i

解答は

x = 4 2^{3}, x = - 4 2^{3}, x = 4 2^{3} i, x = - 4 2^{3} i

グラフ

人気の例

x^{3} - 3 x^{2} - 10 x = 0

x^{3} = - 4

x^{3} = 11

(x^2-4x+5)^2-(x-1)(x-3)=4

(x^{2} - 4 x + 5)^{2} - (x - 1) (x - 3) = 4

2x^4-29x^2-48=0

2 x^{4} - 29 x^{2} - 48 = 0