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人気のある代数 >

x^4-2937x^2+100=0

解

x^{4} - 2937 x^{2} + 100 = 0

解

x = \frac{2937 + 8625569}{2}, x = - \frac{2937 + 8625569}{2}, x = \frac{2937 - 8625569}{2}, x = - \frac{2937 - 8625569}{2}

+1

十進法表記

x = 54.19378 \dots, x = - 54.19378 \dots, x = 0.18452 \dots, x = - 0.18452 \dots

解答ステップ

x^{4} - 2937 x^{2} + 100 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 2937 u + 100 = 0

解く

u^{2} - 2937 u + 100 = 0 : u = \frac{2937 + 8625569}{2}, u = \frac{2937 - 8625569}{2}

u = \frac{2937 + 8625569}{2}, u = \frac{2937 - 8625569}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{2937 + 8625569}{2} : x = \frac{2937 + 8625569}{2}, x = - \frac{2937 + 8625569}{2}

解く

x^{2} = \frac{2937 - 8625569}{2} : x = \frac{2937 - 8625569}{2}, x = - \frac{2937 - 8625569}{2}

解答は

x = \frac{2937 + 8625569}{2}, x = - \frac{2937 + 8625569}{2}, x = \frac{2937 - 8625569}{2}, x = - \frac{2937 - 8625569}{2}

グラフ

人気の例

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

4x^3-12x^2=9x-27

4 x^{3} - 12 x^{2} = 9 x - 27

x^{3} - 4 x + 3 = 0

2x^3-8x^2-24x=ax(x+b)(x+c)

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