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受欢迎的代数 >

12x^4-9x^2-3=0

解答

12 x^{4} - 9 x^{2} - 3 = 0

解答

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

求解步骤

12 x^{4} - 9 x^{2} - 3 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

12 u^{2} - 9 u - 3 = 0

解

12 u^{2} - 9 u - 3 = 0 : u = 1, u = - \frac{1}{4}

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

代回

u = x^{2}

，求解

x

解

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

解

x^{2} = - \frac{1}{4} : x = \frac{1}{2} i, x = - \frac{1}{2} i

解为

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

作图

流行的例子

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