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受欢迎的代数 >

x^4+8x^2+11=0

解答

x^{4} + 8 x^{2} + 11 = 0

解答

x = 4 - 5 i, x = - 4 - 5 i, x = 4 + 5 i, x = - 4 + 5 i

求解步骤

x^{4} + 8 x^{2} + 11 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} + 8 u + 11 = 0

解

u^{2} + 8 u + 11 = 0 : u = - 4 + 5, u = - 4 - 5

u = - 4 + 5, u = - 4 - 5

代回

u = x^{2}

，求解

x

解

x^{2} = - 4 + 5 : x = 4 - 5 i, x = - 4 - 5 i

解

x^{2} = - 4 - 5 : x = 4 + 5 i, x = - 4 + 5 i

解为

x = 4 - 5 i, x = - 4 - 5 i, x = 4 + 5 i, x = - 4 + 5 i

作图

流行的例子

3 x^{4} - 15 x^{2} = 23

2 x^{4} - 32 = 0

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