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受欢迎的代数 >

w^4+36=13w^2

解答

w^{4} + 36 = 13 w^{2}

解答

w = 3, w = - 3, w = 2, w = - 2

求解步骤

w^{4} + 36 = 13 w^{2}

将

13 w^{2}

para o lado esquerdo

w^{4} + 36 - 13 w^{2} = 0

改写成标准形式

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

w^{4} - 13 w^{2} + 36 = 0

用

u = w^{2}

和

u^{2} = w^{4}

改写方程式

u^{2} - 13 u + 36 = 0

解

u^{2} - 13 u + 36 = 0 : u = 9, u = 4

u = 9, u = 4

代回

u = w^{2}

，求解

w

解

w^{2} = 9 : w = 3, w = - 3

解

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

解为

w = 3, w = - 3, w = 2, w = - 2

作图

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