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受欢迎的代数 >

3x^2+4x-12=0

解答

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

解答

x = \frac{2 ( 10 - 1 )}{3}, x = - \frac{2 ( 1 + 10 )}{3}

+1

十进制

x = 1.44151 \dots, x = - 2.77485 \dots

求解步骤

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

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 3 ( - 12 )}{2 \cdot 3}

4^{2} - 4 \cdot 3 (- 12) = 410

x_{1, 2} = \frac{- 4 \pm 4 10}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 4 + 4 10}{2 \cdot 3}, x_{2} = \frac{- 4 - 4 10}{2 \cdot 3}

x = \frac{- 4 + 4 10}{2 \cdot 3} : \frac{2 ( 10 - 1 )}{3}

x = \frac{- 4 - 4 10}{2 \cdot 3} : - \frac{2 ( 1 + 10 )}{3}

二次方程组的解是:

x = \frac{2 ( 10 - 1 )}{3}, x = - \frac{2 ( 1 + 10 )}{3}

作图

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