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人気のある代数 >

k^4-100k^2=0

解

k^{4} - 100 k^{2} = 0

解

k = 10, k = - 10, k = 0

解答ステップ

k^{4} - 100 k^{2} = 0

equationを

u = k^{2}

と以下で書き換える:

u^{2} = k^{4}

u^{2} - 100 u = 0

解く

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

u = 100, u = 0

再び

u = k^{2}

に置き換えて以下を解く:

k

解く

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

解く

k^{2} = 0 : k = 0

解答は

k = 10, k = - 10, k = 0

グラフ

人気の例

x^3-5x^2+7x-35=0

x^{3} - 5 x^{2} + 7 x - 35 = 0

m^3-9m^2+15m+25=0

m^{3} - 9 m^{2} + 15 m + 25 = 0

5x^3+3x^2+3x+1=-23x^3

5 x^{3} + 3 x^{2} + 3 x + 1 = - 23 x^{3}

(1 + x + x^{2})^{2} = 0

3 = (1 + x)^{12}