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人気のある代数 >

4x^4-37x^2+9=0

解

4 x^{4} - 37 x^{2} + 9 = 0

解

x = 3, x = - 3, x = \frac{1}{2}, x = - \frac{1}{2}

+1

十進法表記

x = 3, x = - 3, x = 0.5, x = - 0.5

解答ステップ

4 x^{4} - 37 x^{2} + 9 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

4 u^{2} - 37 u + 9 = 0

解く

4 u^{2} - 37 u + 9 = 0 : u = 9, u = \frac{1}{4}

u = 9, u = \frac{1}{4}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 9 : x = 3, x = - 3

解く

x^{2} = \frac{1}{4} : x = \frac{1}{2}, x = - \frac{1}{2}

解答は

x = 3, x = - 3, x = \frac{1}{2}, x = - \frac{1}{2}

グラフ

人気の例

27 x^{3} - 343 = 0

(2x-5)(3x^2+7x-6)=0

(2 x - 5) (3 x^{2} + 7 x - 6) = 0

-x^3+4x^2-5x+2=0

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

54 = a^{4}

(7^{2})^{4} = n^{8}