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受欢迎的代数 >

3x^4+17x^2-6=0

解答

3 x^{4} + 17 x^{2} - 6 = 0

解答

x = \frac{1}{3}, x = - \frac{1}{3}, x = 6 i, x = - 6 i

求解步骤

3 x^{4} + 17 x^{2} - 6 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

3 u^{2} + 17 u - 6 = 0

解

3 u^{2} + 17 u - 6 = 0 : u = \frac{1}{3}, u = - 6

u = \frac{1}{3}, u = - 6

代回

u = x^{2}

，求解

x

解

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

解

x^{2} = - 6 : x = 6 i, x = - 6 i

解为

x = \frac{1}{3}, x = - \frac{1}{3}, x = 6 i, x = - 6 i

作图

流行的例子

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