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人気のある代数 >

x^4-80=1

解

x^{4} - 80 = 1

解

x = 3, x = - 3, x = 3 i, x = - 3 i

解答ステップ

x^{4} - 80 = 1

80

を右側に移動します

x^{4} = 81

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = 81

解く

u^{2} = 81 : u = 81, u = - 81

u = 81, u = - 81

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 81 : x = 3, x = - 3

解く

x^{2} = - 81 : x = 3 i, x = - 3 i

解答は

x = 3, x = - 3, x = 3 i, x = - 3 i

グラフ

人気の例

(x^2+5x-24)(x^2-3x+2)=(x^2+5x-24)(4x-10)

(x^{2} + 5 x - 24) (x^{2} - 3 x + 2) = (x^{2} + 5 x - 24) (4 x - 10)

(x^2-7)^2+2x^2-14=0

(x^{2} - 7)^{2} + 2 x^{2} - 14 = 0

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2 x^{4} + 6 = 9