solvefor x,6x^2+11x-10=0

解

x, 6 x^{2} + 11 x - 10 = 0

x = \frac{2}{3}, x = - \frac{5}{2}

十進法表記

x = 0.66666 \dots, x = - 2.5

解答ステップ

6 x^{2} + 11 x - 10 = 0

解くとthe二次式

x_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 \cdot 6 ( - 10 )}{2 \cdot 6}

1 1^{2} - 4 \cdot 6 (- 10) = 19

x_{1, 2} = \frac{- 11 \pm 19}{2 \cdot 6}

解を分離する

x_{1} = \frac{- 11 + 19}{2 \cdot 6}, x_{2} = \frac{- 11 - 19}{2 \cdot 6}

x = \frac{- 11 + 19}{2 \cdot 6} : \frac{2}{3}

x = \frac{- 11 - 19}{2 \cdot 6} : - \frac{5}{2}

二次equationの解:

x = \frac{2}{3}, x = - \frac{5}{2}