solvefor x,x^2-6x-17=0

解

x, x^{2} - 6 x - 17 = 0

x = 3 + 26, x = 3 - 26

十進法表記

x = 8.09901 \dots, x = - 2.09901 \dots

解答ステップ

x^{2} - 6 x - 17 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 17 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 17) = 226

x_{1, 2} = \frac{- ( - 6 ) \pm 2 26}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 6 ) + 2 26}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 2 26}{2 \cdot 1}

x = \frac{- ( - 6 ) + 2 26}{2 \cdot 1} : 3 + 26

x = \frac{- ( - 6 ) - 2 26}{2 \cdot 1} : 3 - 26

二次equationの解:

x = 3 + 26, x = 3 - 26