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人気のある代数 >

2a^4-11a^2+14=0

解

2 a^{4} - 11 a^{2} + 14 = 0

解

a = \frac{7}{2}, a = - \frac{7}{2}, a = 2, a = - 2

+1

十進法表記

a = 1.87082 \dots, a = - 1.87082 \dots, a = 1.41421 \dots, a = - 1.41421 \dots

解答ステップ

2 a^{4} - 11 a^{2} + 14 = 0

equationを

u = a^{2}

と以下で書き換える:

u^{2} = a^{4}

2 u^{2} - 11 u + 14 = 0

解く

2 u^{2} - 11 u + 14 = 0 : u = \frac{7}{2}, u = 2

u = \frac{7}{2}, u = 2

再び

u = a^{2}

に置き換えて以下を解く:

a

解く

a^{2} = \frac{7}{2} : a = \frac{7}{2}, a = - \frac{7}{2}

解く

a^{2} = 2 : a = 2, a = - 2

解答は

a = \frac{7}{2}, a = - \frac{7}{2}, a = 2, a = - 2

グラフ

人気の例

4 t - t^{3} = 0

x^4-x^3+1=x^4-2x^3+x+1

x^{4} - x^{3} + 1 = x^{4} - 2 x^{3} + x + 1

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

-x^6-x^5+x^4+x^3=0

- x^{6} - x^{5} + x^{4} + x^{3} = 0

79.97x^3-27.43x-52.14=0

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