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人気のある代数 >

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

解

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

解

x = \frac{- 1 + 61}{10}, x = - \frac{- 1 + 61}{10}, x = \frac{- 1 - 61}{10}, x = - \frac{- 1 - 61}{10}

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

5 u^{2} + u - 3 = 0

解く

5 u^{2} + u - 3 = 0 : u = \frac{- 1 + 61}{10}, u = \frac{- 1 - 61}{10}

u = \frac{- 1 + 61}{10}, u = \frac{- 1 - 61}{10}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{- 1 + 61}{10} : x = \frac{- 1 + 61}{10}, x = - \frac{- 1 + 61}{10}

解く

x^{2} = \frac{- 1 - 61}{10} : x = \frac{- 1 - 61}{10}, x = - \frac{- 1 - 61}{10}

解答は

x = \frac{- 1 + 61}{10}, x = - \frac{- 1 + 61}{10}, x = \frac{- 1 - 61}{10}, x = - \frac{- 1 - 61}{10}

グラフ

人気の例

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

0 = (a + 1)^{3} + 3 a^{2}

4x^3+8x^2+x-3=0

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

2x^4-13x^3+28x^2-23x+6=0

2 x^{4} - 13 x^{3} + 28 x^{2} - 23 x + 6 = 0

x^{4} - 64 x^{2} = 0