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受欢迎的代数 >

2x^4-32=0

解答

2 x^{4} - 32 = 0

解答

x = 2, x = - 2, x = 2 i, x = - 2 i

求解步骤

2 x^{4} - 32 = 0

将

32

到右边

2 x^{4} = 32

两边除以

2

x^{4} = 16

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} = 16

解

u^{2} = 16 : u = 16, u = - 16

u = 16, u = - 16

代回

u = x^{2}

，求解

x

解

x^{2} = 16 : x = 2, x = - 2

解

x^{2} = - 16 : x = 2 i, x = - 2 i

解为

x = 2, x = - 2, x = 2 i, x = - 2 i

作图

流行的例子

2x^3+16x^2+24x=0

2 x^{3} + 16 x^{2} + 24 x = 0

2x^3-11.7x^2+17.7x-5=0

2 x^{3} - 11.7 x^{2} + 17.7 x - 5 = 0

x^{3} + x^{2} + x - 1 = 0

2 x^{4} - 5 x^{2} + 2 = 0

x^{3} - 6 x + 3 = 0