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人気のある代数 >

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

解

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

解

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

+1

十進法表記

x = 2, x = - 2, x = 0.33333 \dots, x = - 0.33333 \dots

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

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

解く

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

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

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = \frac{1}{9} : x = \frac{1}{3}, x = - \frac{1}{3}

解答は

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

グラフ

人気の例

3x^3+2x^2-12x-8=0

3 x^{3} + 2 x^{2} - 12 x - 8 = 0

9 x^{3} = 12 x^{4}

3 x^{4} - 8 x^{2} + 5 = 0

3x^3-4x^2-27x+36=0

3 x^{3} - 4 x^{2} - 27 x + 36 = 0

(x+7)^3(x-2i)(x+2i)=0

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