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受欢迎的代数 >

(2^{24})^{1/2}=p^4

解答

(2^{24})^{\frac{1}{2}} = p^{4}

解答

p = 8, p = - 8, p = 8 i, p = - 8 i

求解步骤

(2^{24})^{\frac{1}{2}} = p^{4}

交换两边

p^{4} = (2^{24})^{\frac{1}{2}}

化简

(2^{24})^{\frac{1}{2}} : 4096

用

u = p^{2}

和

u^{2} = p^{4}

改写方程式

u^{2} = 4096

解

u^{2} = 4096 : u = 4096, u = - 4096

u = 4096, u = - 4096

代回

u = p^{2}

，求解

p

解

p^{2} = 4096 : p = 8, p = - 8

解

p^{2} = - 4096 : p = 8 i, p = - 8 i

解为

p = 8, p = - 8, p = 8 i, p = - 8 i

作图

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