quadraticformula x^2-8x-16=0

解

x^{2} - 8 x - 16 = 0

x = 4 (1 + 2), x = 4 (1 - 2)

十進法表記

x = 9.65685 \dots, x = - 1.65685 \dots

解答ステップ

x^{2} - 8 x - 16 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot ( - 16 )}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot (- 16) = 82

x_{1, 2} = \frac{- ( - 8 ) \pm 8 2}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 8 ) + 8 2}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 8 2}{2 \cdot 1}

x = \frac{- ( - 8 ) + 8 2}{2 \cdot 1} : 4 (1 + 2)

x = \frac{- ( - 8 ) - 8 2}{2 \cdot 1} : 4 (1 - 2)

二次equationの解:

x = 4 (1 + 2), x = 4 (1 - 2)