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受欢迎的代数 >

16k^4=1296

解答

16 k^{4} = 1296

解答

k = 3, k = - 3, k = 3 i, k = - 3 i

求解步骤

16 k^{4} = 1296

两边除以

16

k^{4} = 81

用

u = k^{2}

和

u^{2} = k^{4}

改写方程式

u^{2} = 81

解

u^{2} = 81 : u = 81, u = - 81

u = 81, u = - 81

代回

u = k^{2}

，求解

k

解

k^{2} = 81 : k = 3, k = - 3

解

k^{2} = - 81 : k = 3 i, k = - 3 i

解为

k = 3, k = - 3, k = 3 i, k = - 3 i

作图

流行的例子

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- x^{3} + 15 x^{2} - 75 x + 125 = 0

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