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

解

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

x = - 3 + 19, x = - 3 - 19

十進法表記

x = 1.35889 \dots, x = - 7.35889 \dots

解答ステップ

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

解くとthe二次式

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

6^{2} - 4 \cdot 1 \cdot (- 10) = 219

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

解を分離する

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

x = \frac{- 6 + 2 19}{2 \cdot 1} : - 3 + 19

x = \frac{- 6 - 2 19}{2 \cdot 1} : - 3 - 19

二次equationの解:

x = - 3 + 19, x = - 3 - 19