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受欢迎的代数 >

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

解答

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

解答

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

求解步骤

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

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

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

解

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}

代回

u = x^{2}

，求解

x

解

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

解

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

解为

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

作图

流行的例子

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