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人気のある代数 >

9x^4+45x^2+14=0

解

9 x^{4} + 45 x^{2} + 14 = 0

解

x = \frac{1}{3} i, x = - \frac{1}{3} i, x = \frac{14}{3} i, x = - \frac{14}{3} i

解答ステップ

9 x^{4} + 45 x^{2} + 14 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

9 u^{2} + 45 u + 14 = 0

解く

9 u^{2} + 45 u + 14 = 0 : u = - \frac{1}{3}, u = - \frac{14}{3}

u = - \frac{1}{3}, u = - \frac{14}{3}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = - \frac{1}{3} : x = \frac{1}{3} i, x = - \frac{1}{3} i

解く

x^{2} = - \frac{14}{3} : x = \frac{14}{3} i, x = - \frac{14}{3} i

解答は

x = \frac{1}{3} i, x = - \frac{1}{3} i, x = \frac{14}{3} i, x = - \frac{14}{3} i

グラフ

人気の例

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

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

418.879=6t+0.11667t^3

418.879 = 6 t + 0.11667 t^{3}

4 x^{4} = 2048 x

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