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人気のある代数 >

solvefor x,x^4-6x^2+5=0

解

解く

x, x^{4} - 6 x^{2} + 5 = 0

解

x = 5, x = - 5, x = 1, x = - 1

+1

十進法表記

x = 2.23606 \dots, x = - 2.23606 \dots, x = 1, x = - 1

解答ステップ

x^{4} - 6 x^{2} + 5 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 6 u + 5 = 0

解く

u^{2} - 6 u + 5 = 0 : u = 5, u = 1

u = 5, u = 1

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 5 : x = 5, x = - 5

解く

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

解答は

x = 5, x = - 5, x = 1, x = - 1

グラフ

人気の例

3(36x^2-49)(x^2+64)=0

3 (36 x^{2} - 49) (x^{2} + 64) = 0

2 x^{3} = 50 x

30 x^{4} - x^{2} - 1 = 0

m^{3} = 27

x^{5} - 9 x^{3} = 0