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受欢迎的代数 >

solvefor a,54=a^4

解答

求解

a, 54 = a^{4}

解答

a = 4 3^{3} 42, a = - 4 3^{3} 42, a = 346 i, a = - 346 i

求解步骤

54 = a^{4}

交换两边

a^{4} = 54

用

u = a^{2}

和

u^{2} = a^{4}

改写方程式

u^{2} = 54

解

u^{2} = 54 : u = 54, u = - 54

u = 54, u = - 54

代回

u = a^{2}

，求解

a

解

a^{2} = 54 : a = 4 3^{3} 42, a = - 4 3^{3} 42

解

a^{2} = - 54 : a = 346 i, a = - 346 i

解为

a = 4 3^{3} 42, a = - 4 3^{3} 42, a = 346 i, a = - 346 i

作图

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