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人気のある代数 >

7(7x^2)^2=4(7x^2)+1

解

7 (7 x^{2})^{2} = 4 (7 x^{2}) + 1

解

x = \frac{2 + 11}{7}, x = - \frac{2 + 11}{7}, x = \frac{2 - 11}{49}, x = - \frac{2 - 11}{49}

解答ステップ

7 (7 x^{2})^{2} = 4 (7 x^{2}) + 1

拡張

7 (7 x^{2})^{2} : 343 x^{4}

拡張

4 (7 x^{2}) + 1 : 28 x^{2} + 1

343 x^{4} = 28 x^{2} + 1

1

を左側に移動します

343 x^{4} - 1 = 28 x^{2}

28 x^{2}

を左側に移動します

343 x^{4} - 1 - 28 x^{2} = 0

標準的な形式で書く

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

343 x^{4} - 28 x^{2} - 1 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

343 u^{2} - 28 u - 1 = 0

解く

343 u^{2} - 28 u - 1 = 0 : u = \frac{2 + 11}{49}, u = \frac{2 - 11}{49}

u = \frac{2 + 11}{49}, u = \frac{2 - 11}{49}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{2 + 11}{49} : x = \frac{2 + 11}{7}, x = - \frac{2 + 11}{7}

解く

x^{2} = \frac{2 - 11}{49} : x = \frac{2 - 11}{49}, x = - \frac{2 - 11}{49}

解答は

x = \frac{2 + 11}{7}, x = - \frac{2 + 11}{7}, x = \frac{2 - 11}{49}, x = - \frac{2 - 11}{49}

グラフ

人気の例

solvefor x,x^5=y^{-4}

so l v e f or x, x^{5} = y^{- 4}

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