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受欢迎的代数 >

solvefor x,f=x^4-6x^2+6

解答

求解

x, f = x^{4} - 6 x^{2} + 6

解答

x = 3 + f + 3, x = - 3 + f + 3, x = 3 - f + 3, x = - 3 - f + 3

求解步骤

f = x^{4} - 6 x^{2} + 6

交换两边

x^{4} - 6 x^{2} + 6 = f

将

f

para o lado esquerdo

x^{4} - 6 x^{2} + 6 - f = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} - 6 u + 6 - f = 0

解

u^{2} - 6 u + 6 - f = 0 : u = 3 + f + 3, u = 3 - f + 3

u = 3 + f + 3, u = 3 - f + 3

代回

u = x^{2}

，求解

x

解

x^{2} = 3 + f + 3 : x = 3 + f + 3, x = - 3 + f + 3

解

x^{2} = 3 - f + 3 : x = 3 - f + 3, x = - 3 - f + 3

解为

x = 3 + f + 3, x = - 3 + f + 3, x = 3 - f + 3, x = - 3 - f + 3

作图

流行的例子

z^{3} + z + 1 = 0

x (x - 3) (2 x + 1) = 0

x^4*5^4=(-10)^4

x^{4} \cdot 5^{4} = (- 10)^{4}

2x^3+3x^2-36x+10=16-25x

2 x^{3} + 3 x^{2} - 36 x + 10 = 16 - 25 x

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