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受欢迎的代数 >

a^4-14a^2+24=0

解答

a^{4} - 14 a^{2} + 24 = 0

解答

a = 23, a = - 23, a = 2, a = - 2

+1

十进制

a = 3.46410 \dots, a = - 3.46410 \dots, a = 1.41421 \dots, a = - 1.41421 \dots

求解步骤

a^{4} - 14 a^{2} + 24 = 0

用

u = a^{2}

和

u^{2} = a^{4}

改写方程式

u^{2} - 14 u + 24 = 0

解

u^{2} - 14 u + 24 = 0 : u = 12, u = 2

u = 12, u = 2

代回

u = a^{2}

，求解

a

解

a^{2} = 12 : a = 23, a = - 23

解

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

解为

a = 23, a = - 23, a = 2, a = - 2

作图

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