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受欢迎的代数 >

6x^2+40x=14

解答

6 x^{2} + 40 x = 14

解答

x = \frac{1}{3}, x = - 7

+1

十进制

x = 0.33333 \dots, x = - 7

求解步骤

6 x^{2} + 40 x = 14

将

14

para o lado esquerdo

6 x^{2} + 40 x - 14 = 0

使用求根公式求解

x_{1, 2} = \frac{- 40 \pm 4 0 ^{2} - 4 \cdot 6 ( - 14 )}{2 \cdot 6}

4 0^{2} - 4 \cdot 6 (- 14) = 44

x_{1, 2} = \frac{- 40 \pm 44}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 40 + 44}{2 \cdot 6}, x_{2} = \frac{- 40 - 44}{2 \cdot 6}

x = \frac{- 40 + 44}{2 \cdot 6} : \frac{1}{3}

x = \frac{- 40 - 44}{2 \cdot 6} : - 7

二次方程组的解是:

x = \frac{1}{3}, x = - 7

作图

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