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人気のある代数 >

4x^4-40x^2+36=0

解

4 x^{4} - 40 x^{2} + 36 = 0

解

x = 3, x = - 3, x = 1, x = - 1

解答ステップ

4 x^{4} - 40 x^{2} + 36 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

4 u^{2} - 40 u + 36 = 0

解く

4 u^{2} - 40 u + 36 = 0 : u = 9, u = 1

u = 9, u = 1

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 9 : x = 3, x = - 3

解く

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

解答は

x = 3, x = - 3, x = 1, x = - 1

グラフ

人気の例

m^3+5m^2+4m+4=0

m^{3} + 5 m^{2} + 4 m + 4 = 0

x^2(x-3)(x+2)^3(x-4)^3=0

x^{2} (x - 3) (x + 2)^{3} (x - 4)^{3} = 0

z^{4} - 4 = 0

x^3+2.5x^2+11x+5=0

x^{3} + 2.5 x^{2} + 11 x + 5 = 0

3 = x^{3}