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受欢迎的代数 >

2a^4-11a^2+14=0

解答

2 a^{4} - 11 a^{2} + 14 = 0

解答

a = \frac{7}{2}, a = - \frac{7}{2}, a = 2, a = - 2

+1

十进制

a = 1.87082 \dots, a = - 1.87082 \dots, a = 1.41421 \dots, a = - 1.41421 \dots

求解步骤

2 a^{4} - 11 a^{2} + 14 = 0

用

u = a^{2}

和

u^{2} = a^{4}

改写方程式

2 u^{2} - 11 u + 14 = 0

解

2 u^{2} - 11 u + 14 = 0 : u = \frac{7}{2}, u = 2

u = \frac{7}{2}, u = 2

代回

u = a^{2}

，求解

a

解

a^{2} = \frac{7}{2} : a = \frac{7}{2}, a = - \frac{7}{2}

解

a^{2} = 2 : a = 2, a = - 2

解为

a = \frac{7}{2}, a = - \frac{7}{2}, a = 2, a = - 2

作图

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