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人気のある代数 >

4x^4-17x^2+3=0

解

4 x^{4} - 17 x^{2} + 3 = 0

解

x = \frac{17 + 241}{2 2}, x = - \frac{17 + 241}{2 2}, x = \frac{17 - 241}{2 2}, x = - \frac{17 - 241}{2 2}

+1

十進法表記

x = 2.01631 \dots, x = - 2.01631 \dots, x = 0.42950 \dots, x = - 0.42950 \dots

解答ステップ

4 x^{4} - 17 x^{2} + 3 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

4 u^{2} - 17 u + 3 = 0

解く

4 u^{2} - 17 u + 3 = 0 : u = \frac{17 + 241}{8}, u = \frac{17 - 241}{8}

u = \frac{17 + 241}{8}, u = \frac{17 - 241}{8}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{17 + 241}{8} : x = \frac{17 + 241}{2 2}, x = - \frac{17 + 241}{2 2}

解く

x^{2} = \frac{17 - 241}{8} : x = \frac{17 - 241}{2 2}, x = - \frac{17 - 241}{2 2}

解答は

x = \frac{17 + 241}{2 2}, x = - \frac{17 + 241}{2 2}, x = \frac{17 - 241}{2 2}, x = - \frac{17 - 241}{2 2}

グラフ

人気の例

a^{2} = a^{4}

(u+9)^3=-(u+9)^2

(u + 9)^{3} = - (u + 9)^{2}

2x^3+x^2-100x-25=0

2 x^{3} + x^{2} - 100 x - 25 = 0

y^{4} - 81 = 0

x^{3} - 3 x + \frac{9}{8} = 0