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人気のある代数 >

d^4-45d^2+164=0

解

d^{4} - 45 d^{2} + 164 = 0

解

d = 41, d = - 41, d = 2, d = - 2

+1

十進法表記

d = 6.40312 \dots, d = - 6.40312 \dots, d = 2, d = - 2

解答ステップ

d^{4} - 45 d^{2} + 164 = 0

equationを

u = d^{2}

と以下で書き換える:

u^{2} = d^{4}

u^{2} - 45 u + 164 = 0

解く

u^{2} - 45 u + 164 = 0 : u = 41, u = 4

u = 41, u = 4

再び

u = d^{2}

に置き換えて以下を解く:

d

解く

d^{2} = 41 : d = 41, d = - 41

解く

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

解答は

d = 41, d = - 41, d = 2, d = - 2

グラフ

人気の例

x^4+x^3+7x^2+9x=0

x^{4} + x^{3} + 7 x^{2} + 9 x = 0

x^4-3x^3+2x^2-7x-11=0

x^{4} - 3 x^{3} + 2 x^{2} - 7 x - 11 = 0

(4x)^4(0.5)=0.0225

(4 x)^{4} (0.5) = 0.0225

x^4-2x^2-2x^2=0

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

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

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