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受欢迎的代数 >

y^4+27y^2-324=0

解答

y^{4} + 27 y^{2} - 324 = 0

解答

y = 3, y = - 3, y = 6 i, y = - 6 i

求解步骤

y^{4} + 27 y^{2} - 324 = 0

用

u = y^{2}

和

u^{2} = y^{4}

改写方程式

u^{2} + 27 u - 324 = 0

解

u^{2} + 27 u - 324 = 0 : u = 9, u = - 36

u = 9, u = - 36

代回

u = y^{2}

，求解

y

解

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

解

y^{2} = - 36 : y = 6 i, y = - 6 i

解为

y = 3, y = - 3, y = 6 i, y = - 6 i

作图

流行的例子

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