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受欢迎的代数 >

2x^2=12x-4x^2

解答

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

解答

x = 0, x = 2

求解步骤

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

交换两边

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

将

2 x^{2}

para o lado esquerdo

12 x - 6 x^{2} = 0

改写成标准形式

a x^{2} + b x + c = 0

- 6 x^{2} + 12 x = 0

使用求根公式求解

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 ( - 6 ) \cdot 0}{2 ( - 6 )}

1 2^{2} - 4 (- 6) \cdot 0 = 12

x_{1, 2} = \frac{- 12 \pm 12}{2 ( - 6 )}

将解分隔开

x_{1} = \frac{- 12 + 12}{2 ( - 6 )}, x_{2} = \frac{- 12 - 12}{2 ( - 6 )}

x = \frac{- 12 + 12}{2 ( - 6 )} : 0

x = \frac{- 12 - 12}{2 ( - 6 )} : 2

二次方程组的解是:

x = 0, x = 2

作图

流行的例子

s im pl i f y - \frac{1}{4} + \frac{1}{2}

\frac{7}{8} x - 10 < 14

s im pl i f y \frac{1}{2} \cdot 3 \cdot 6

3 x + 4 = 19

- 4 x^{2} = - 36 x + 80