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受欢迎的代数 >

2x(2x^2-1)=0

解答

2 x (2 x^{2} - 1) = 0

解答

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

+1

十进制

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

求解步骤

2 x (2 x^{2} - 1) = 0

因式分解

2 x (2 x^{2} - 1) : 2 x (2 x + 1) (2 x - 1)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

解

2 x + 1 = 0 : x = - \frac{1}{2}

解

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

解为

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

作图

流行的例子

9 d x^{10} = 210

6m^3-12m^2-378m=0

6 m^{3} - 12 m^{2} - 378 m = 0

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

(4 x^{2} - 25)^{2} = 0

4 x^{3} - 3 = 9