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人気のある代数 >

x^4-28x^2+75=0

解

x^{4} - 28 x^{2} + 75 = 0

解

x = 5, x = - 5, x = 3, x = - 3

+1

十進法表記

x = 5, x = - 5, x = 1.73205 \dots, x = - 1.73205 \dots

解答ステップ

x^{4} - 28 x^{2} + 75 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 28 u + 75 = 0

解く

u^{2} - 28 u + 75 = 0 : u = 25, u = 3

u = 25, u = 3

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 25 : x = 5, x = - 5

解く

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

解答は

x = 5, x = - 5, x = 3, x = - 3

グラフ

人気の例

x^4-7x^3+12x^2=0

x^{4} - 7 x^{3} + 12 x^{2} = 0

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

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

2x^3-12x^2+18x=0

2 x^{3} - 12 x^{2} + 18 x = 0

(4^{2} - X)^{4} = 16

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