x^2-1000x-30000=0

解

x^{2} - 1000 x - 30000 = 0

x = 100 (5 + 27), x = 100 (5 - 27)

十進法表記

x = 1029.15026 \dots, x = - 29.15026 \dots

解答ステップ

x^{2} - 1000 x - 30000 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 1000 ) \pm ( - 1000 ) ^{2} - 4 \cdot 1 \cdot ( - 30000 )}{2 \cdot 1}

(- 1000)^{2} - 4 \cdot 1 \cdot (- 30000) = 4007

x_{1, 2} = \frac{- ( - 1000 ) \pm 400 7}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 1000 ) + 400 7}{2 \cdot 1}, x_{2} = \frac{- ( - 1000 ) - 400 7}{2 \cdot 1}

x = \frac{- ( - 1000 ) + 400 7}{2 \cdot 1} : 100 (5 + 27)

x = \frac{- ( - 1000 ) - 400 7}{2 \cdot 1} : 100 (5 - 27)

二次equationの解:

x = 100 (5 + 27), x = 100 (5 - 27)