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受欢迎的代数 >

54=(6-p^4)3

解答

54 = (6 - p^{4}) 3

解答

p = 43 + 43 i, p = - 43 - 43 i, p = 43 - 43 i, p = - 43 + 43 i

求解步骤

54 = (6 - p^{4}) \cdot 3

交换两边

(6 - p^{4}) \cdot 3 = 54

两边除以

3

6 - p^{4} = 18

将

6

到右边

- p^{4} = 12

两边除以

- 1

p^{4} = - 12

用

u = p^{2}

和

u^{2} = p^{4}

改写方程式

u^{2} = - 12

解

u^{2} = - 12 : u = 23 i, u = - 23 i

u = 23 i, u = - 23 i

代回

u = p^{2}

，求解

p

解

p^{2} = 23 i : p = 43 + 43 i, p = - 43 - 43 i

解

p^{2} = - 23 i : p = 43 - 43 i, p = - 43 + 43 i

解为

p = 43 + 43 i, p = - 43 - 43 i, p = 43 - 43 i, p = - 43 + 43 i

作图

流行的例子

solvefor y,x=1+(y-2)^3

so l v e f or y, x = 1 + (y - 2)^{3}

(x^2-8)^2-2(x^2-8)=-1

(x^{2} - 8)^{2} - 2 (x^{2} - 8) = - 1

solvefor x,(x-1)^3=y

so l v e f or x, (x - 1)^{3} = y

4 b^{4} = 2 b

4x^3-6x^2-18x+27=0

4 x^{3} - 6 x^{2} - 18 x + 27 = 0