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受欢迎的代数 >

8x^4-4x^2=0

解答

8 x^{4} - 4 x^{2} = 0

解答

x = \frac{1}{2}, x = - \frac{1}{2}, x = 0

+1

十进制

x = 0.70710 \dots, x = - 0.70710 \dots, x = 0

求解步骤

8 x^{4} - 4 x^{2} = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

8 u^{2} - 4 u = 0

解

8 u^{2} - 4 u = 0 : u = \frac{1}{2}, u = 0

u = \frac{1}{2}, u = 0

代回

u = x^{2}

，求解

x

解

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

解

x^{2} = 0 : x = 0

解为

x = \frac{1}{2}, x = - \frac{1}{2}, x = 0

作图

流行的例子

2 = x^{4}

(z + 1)^{4} = z^{4}

0.15 = (1 + x)^{3} - 1

x(x^3+i)=i(x-1)+sqrt(3)

x (x^{3} + i) = i (x - 1) + 3

x^{3} + 6 x = 0