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人気のある代数 >

9x^4+4=13x^2

解

9 x^{4} + 4 = 13 x^{2}

解

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

+1

十進法表記

x = 1, x = - 1, x = 0.66666 \dots, x = - 0.66666 \dots

解答ステップ

9 x^{4} + 4 = 13 x^{2}

13 x^{2}

を左側に移動します

9 x^{4} + 4 - 13 x^{2} = 0

標準的な形式で書く

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

9 x^{4} - 13 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} - 13 u + 4 = 0

解く

9 u^{2} - 13 u + 4 = 0 : u = 1, u = \frac{4}{9}

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

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 1 : x = 1, x = - 1

解く

x^{2} = \frac{4}{9} : x = \frac{2}{3}, x = - \frac{2}{3}

解答は

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

グラフ

人気の例

x^{3} - 9 x + 9 = 0

5x^3-2x^2-35x+14=0

5 x^{3} - 2 x^{2} - 35 x + 14 = 0

22 - 1 w^{3} = - 7

x^{3} + 11 x + 28 = 0

x^{3} - 8 x - 5 = 0