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受欢迎的代数 >

p^4+40=14p^2

解答

p^{4} + 40 = 14 p^{2}

解答

p = 10, p = - 10, p = 2, p = - 2

+1

十进制

p = 3.16227 \dots, p = - 3.16227 \dots, p = 2, p = - 2

求解步骤

p^{4} + 40 = 14 p^{2}

将

14 p^{2}

para o lado esquerdo

p^{4} + 40 - 14 p^{2} = 0

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

p^{4} - 14 p^{2} + 40 = 0

用

u = p^{2}

和

u^{2} = p^{4}

改写方程式

u^{2} - 14 u + 40 = 0

解

u^{2} - 14 u + 40 = 0 : u = 10, u = 4

u = 10, u = 4

代回

u = p^{2}

，求解

p

解

p^{2} = 10 : p = 10, p = - 10

解

p^{2} = 4 : p = 2, p = - 2

解为

p = 10, p = - 10, p = 2, p = - 2

作图

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