76x^2-140x-846=0

解

76 x^{2} - 140 x - 846 = 0

x = \frac{35 + 17299}{38}, x = \frac{35 - 17299}{38}

十進法表記

x = 4.38225 \dots, x = - 2.54014 \dots

解答ステップ

76 x^{2} - 140 x - 846 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 140 ) \pm ( - 140 ) ^{2} - 4 \cdot 76 ( - 846 )}{2 \cdot 76}

(- 140)^{2} - 4 \cdot 76 (- 846) = 417299

x_{1, 2} = \frac{- ( - 140 ) \pm 4 17299}{2 \cdot 76}

解を分離する

x_{1} = \frac{- ( - 140 ) + 4 17299}{2 \cdot 76}, x_{2} = \frac{- ( - 140 ) - 4 17299}{2 \cdot 76}

x = \frac{- ( - 140 ) + 4 17299}{2 \cdot 76} : \frac{35 + 17299}{38}

x = \frac{- ( - 140 ) - 4 17299}{2 \cdot 76} : \frac{35 - 17299}{38}

二次equationの解:

x = \frac{35 + 17299}{38}, x = \frac{35 - 17299}{38}