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人気のある代数 >

3^4-x^4=0

解

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

解

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

解答ステップ

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

3^{4}

を右側に移動します

- x^{4} = - 81

以下で両辺を割る

- 1

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

3x^4+8x^3+6x^2+3x-2=0

3 x^{4} + 8 x^{3} + 6 x^{2} + 3 x - 2 = 0

2 x^{4} - 200 x^{2} = 0

x^{3} - 5 x - 2 = 0

x^{3} - 3 x^{2} + 24 = 0

(x(x+1)(2x+1))/6 =204

\frac{x ( x + 1 ) ( 2 x + 1 )}{6} = 204