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受欢迎的代数 >

12x^2+24x-6=0

解答

12 x^{2} + 24 x - 6 = 0

解答

x = \frac{- 2 + 6}{2}, x = - \frac{2 + 6}{2}

+1

十进制

x = 0.22474 \dots, x = - 2.22474 \dots

求解步骤

12 x^{2} + 24 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 12 ( - 6 )}{2 \cdot 12}

2 4^{2} - 4 \cdot 12 (- 6) = 126

x_{1, 2} = \frac{- 24 \pm 12 6}{2 \cdot 12}

将解分隔开

x_{1} = \frac{- 24 + 12 6}{2 \cdot 12}, x_{2} = \frac{- 24 - 12 6}{2 \cdot 12}

x = \frac{- 24 + 12 6}{2 \cdot 12} : \frac{- 2 + 6}{2}

x = \frac{- 24 - 12 6}{2 \cdot 12} : - \frac{2 + 6}{2}

二次方程组的解是:

x = \frac{- 2 + 6}{2}, x = - \frac{2 + 6}{2}

作图

流行的例子

12 x^{2} - 13 x - 35 = 0

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

- 12 x^{2} + 5 x + 2 = 0

- 8 x^{2} + 3 x - 7 = 0

2 x^{2} - 6 = 4 x