12x^2-220x+600=0

解

12 x^{2} - 220 x + 600 = 0

x = 15, x = \frac{10}{3}

十進法表記

x = 15, x = 3.33333 \dots

解答ステップ

12 x^{2} - 220 x + 600 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 220 ) \pm ( - 220 ) ^{2} - 4 \cdot 12 \cdot 600}{2 \cdot 12}

(- 220)^{2} - 4 \cdot 12 \cdot 600 = 140

x_{1, 2} = \frac{- ( - 220 ) \pm 140}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 220 ) + 140}{2 \cdot 12}, x_{2} = \frac{- ( - 220 ) - 140}{2 \cdot 12}

x = \frac{- ( - 220 ) + 140}{2 \cdot 12} : 15

x = \frac{- ( - 220 ) - 140}{2 \cdot 12} : \frac{10}{3}

二次equationの解:

x = 15, x = \frac{10}{3}