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人気のある代数 >

2x^4-10x^2+8=0

解

2 x^{4} - 10 x^{2} + 8 = 0

解

x = 2, x = - 2, x = 1, x = - 1

解答ステップ

2 x^{4} - 10 x^{2} + 8 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

2 u^{2} - 10 u + 8 = 0

解く

2 u^{2} - 10 u + 8 = 0 : u = 4, u = 1

u = 4, u = 1

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

x = 2, x = - 2, x = 1, x = - 1

グラフ

人気の例

f a c t or x^{3} + 1 = 0

10x^3=(4/3)pia^3

10 x^{3} = (\frac{4}{3}) π a^{3}

x^4-28x^3+288x^2-1116x+1296=0

x^{4} - 28 x^{3} + 288 x^{2} - 1116 x + 1296 = 0

2x^3-3x^2-12x+3=0

2 x^{3} - 3 x^{2} - 12 x + 3 = 0

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