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人気のある代数 >

x^4-5x^2+5=0

解

x^{4} - 5 x^{2} + 5 = 0

解

x = \frac{5 + 5}{2}, x = - \frac{5 + 5}{2}, x = \frac{5 - 5}{2}, x = - \frac{5 - 5}{2}

+1

十進法表記

x = 1.90211 \dots, x = - 1.90211 \dots, x = 1.17557 \dots, x = - 1.17557 \dots

解答ステップ

x^{4} - 5 x^{2} + 5 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 5 u + 5 = 0

解く

u^{2} - 5 u + 5 = 0 : u = \frac{5 + 5}{2}, u = \frac{5 - 5}{2}

u = \frac{5 + 5}{2}, u = \frac{5 - 5}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{5 + 5}{2} : x = \frac{5 + 5}{2}, x = - \frac{5 + 5}{2}

解く

x^{2} = \frac{5 - 5}{2} : x = \frac{5 - 5}{2}, x = - \frac{5 - 5}{2}

解答は

x = \frac{5 + 5}{2}, x = - \frac{5 + 5}{2}, x = \frac{5 - 5}{2}, x = - \frac{5 - 5}{2}

グラフ

人気の例

2 = (1 + r)^{7}

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

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

4x(3-x)(4x+1)^2=0

4 x (3 - x) (4 x + 1)^{2} = 0

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

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

20000=17100*(1+x)^3

20000 = 17100 \cdot (1 + x)^{3}