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受欢迎的代数 >

x^4-7x^2-44=0

解答

x^{4} - 7 x^{2} - 44 = 0

解答

x = 11, x = - 11, x = 2 i, x = - 2 i

求解步骤

x^{4} - 7 x^{2} - 44 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} - 7 u - 44 = 0

解

u^{2} - 7 u - 44 = 0 : u = 11, u = - 4

u = 11, u = - 4

代回

u = x^{2}

，求解

x

解

x^{2} = 11 : x = 11, x = - 11

解

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

解为

x = 11, x = - 11, x = 2 i, x = - 2 i

作图

流行的例子

x^{3} - 4 x^{2} + 5 x = 0

根 x^6+18x^3+81

roo t s x^{6} + 18 x^{3} + 81

根 x^3+2x^2-5x-6

roo t s x^{3} + 2 x^{2} - 5 x - 6

因式分解 x^4-16x^2+75=2x^2-6

f a c t or x^{4} - 16 x^{2} + 75 = 2 x^{2} - 6

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