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受欢迎的代数 >

x^6-x^2=0

解答

x^{6} - x^{2} = 0

解答

x = 0, x = i, x = - i, x = 1, x = - 1

求解步骤

x^{6} - x^{2} = 0

用

u = x^{2}

和

u^{3} = x^{6}

改写方程式

u^{3} - u = 0

解

u^{3} - u = 0 : u = 0, u = - 1, u = 1

u = 0, u = - 1, u = 1

代回

u = x^{2}

，求解

x

解

x^{2} = 0 : x = 0

解

x^{2} = - 1 : x = i, x = - i

解

x^{2} = 1 : x = 1, x = - 1

解为

x = 0, x = i, x = - i, x = 1, x = - 1

作图

流行的例子

solvefor x,x^3-64=0

so l v e f or x, x^{3} - 64 = 0

-r^3+4r^2-6r+4=0

- r^{3} + 4 r^{2} - 6 r + 4 = 0

8n^3-4n^2=18n-9

8 n^{3} - 4 n^{2} = 18 n - 9

x^{3} - 8 x - 3 = 0

15.625 = s^{3}