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人気のある代数 >

2a^4-15a^2+28=0

解

2 a^{4} - 15 a^{2} + 28 = 0

解

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

+1

十進法表記

a = 2, a = - 2, a = 1.87082 \dots, a = - 1.87082 \dots

解答ステップ

2 a^{4} - 15 a^{2} + 28 = 0

equationを

u = a^{2}

と以下で書き換える:

u^{2} = a^{4}

2 u^{2} - 15 u + 28 = 0

解く

2 u^{2} - 15 u + 28 = 0 : u = 4, u = \frac{7}{2}

u = 4, u = \frac{7}{2}

再び

u = a^{2}

に置き換えて以下を解く:

a

解く

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

解く

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

解答は

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

グラフ

人気の例

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

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

5 x^{4} - 1 2^{3} = 0

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

pi*r^4=4.86*10^{-7}

π \cdot r^{4} = 4.86 \cdot 1 0^{- 7}

x^{4} - 265 x^{2} + 1 = 0