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人気のある代数 >

x^{10}-10x^2+5=0

解

x^{10} - 10 x^{2} + 5 = 0

解

x = \frac{3.14517 E 14}{6.25 E 14}, x = - \frac{3.14517 E 14}{6.25 E 14}, x = \frac{4.05431 E 15}{2.5 E 15}, x = - \frac{4.05431 E 15}{2.5 E 15}

+1

十進法表記

x = 0.70938 \dots, x = - 0.70938 \dots, x = 1.27346 \dots, x = - 1.27346 \dots

解答ステップ

x^{10} - 10 x^{2} + 5 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{5} = x^{10}

u^{5} - 10 u + 5 = 0

解く

u^{5} - 10 u + 5 = 0 : u \approx 0.50322 \dots, u \approx 1.62172 \dots, u \approx - 1.88596 \dots

u \approx 0.50322 \dots, u \approx 1.62172 \dots, u \approx - 1.88596 \dots

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 0.50322 \dots : x = \frac{3.14517 E 14}{6.25 E 14}, x = - \frac{3.14517 E 14}{6.25 E 14}

解く

x^{2} = 1.62172 \dots : x = \frac{4.05431 E 15}{2.5 E 15}, x = - \frac{4.05431 E 15}{2.5 E 15}

解く

x^{2} = - 1.88596 \dots :

以下の解はない:

x \in R

解答は

x = \frac{3.14517 E 14}{6.25 E 14}, x = - \frac{3.14517 E 14}{6.25 E 14}, x = \frac{4.05431 E 15}{2.5 E 15}, x = - \frac{4.05431 E 15}{2.5 E 15}

グラフ

人気の例

x^3-7x^2-2x+14=0

x^{3} - 7 x^{2} - 2 x + 14 = 0

x^{8} = 16

x^{4} + 20 x^{2} + 64 = 0

x^2-(x+2)^2(x-1)^2=0

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

x^{3} = 3375