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受欢迎的代数 >

12x^4=3x^2

解答

12 x^{4} = 3 x^{2}

解答

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

+1

十进制

x = 0, x = - 0.5, x = 0.5

求解步骤

12 x^{4} = 3 x^{2}

将

3 x^{2}

para o lado esquerdo

12 x^{4} - 3 x^{2} = 0

因式分解

12 x^{4} - 3 x^{2} : 3 x^{2} (2 x + 1) (2 x - 1)

3 x^{2} (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

8 x^{3} = 27

x^3+6x^2-16x-96=0

x^{3} + 6 x^{2} - 16 x - 96 = 0

s^{3} = - 343

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

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