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人気のある代数 >

2x^4-200x^2=0

解

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

解

x = 10, x = - 10, x = 0

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

2 u^{2} - 200 u = 0

解く

2 u^{2} - 200 u = 0 : u = 100, u = 0

u = 100, u = 0

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 100 : x = 10, x = - 10

解く

x^{2} = 0 : x = 0

解答は

x = 10, x = - 10, x = 0

グラフ

人気の例

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

x^{3} + x^{2} - 9 x + 9 = 0

z^{3} = 64 i