quadraticformula x^2-6x-10=0

解

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

x = 3 + 19, x = 3 - 19

十進法表記

x = 7.35889 \dots, x = - 1.35889 \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