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受欢迎的代数 >

4x^2-6=-12x

解答

4 x^{2} - 6 = - 12 x

解答

x = \frac{- 3 + 15}{2}, x = - \frac{3 + 15}{2}

+1

十进制

x = 0.43649 \dots, x = - 3.43649 \dots

求解步骤

4 x^{2} - 6 = - 12 x

将

12 x

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

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

1 2^{2} - 4 \cdot 4 (- 6) = 415

x_{1, 2} = \frac{- 12 \pm 4 15}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 12 + 4 15}{2 \cdot 4}, x_{2} = \frac{- 12 - 4 15}{2 \cdot 4}

x = \frac{- 12 + 4 15}{2 \cdot 4} : \frac{- 3 + 15}{2}

x = \frac{- 12 - 4 15}{2 \cdot 4} : - \frac{3 + 15}{2}

二次方程组的解是:

x = \frac{- 3 + 15}{2}, x = - \frac{3 + 15}{2}

作图

流行的例子

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

x^{2} - 6 x = - 156

6 x^{2} - 72 = 0

2 x = 5 x^{2} - 3

9 x^{2} + 36 = 0