3x^2-136x+1300=0

解

3 x^{2} - 136 x + 1300 = 0

x = \frac{2 ( 34 + 181 )}{3}, x = \frac{2 ( 34 - 181 )}{3}

十進法表記

x = 31.63574 \dots, x = 13.69758 \dots

解答ステップ

3 x^{2} - 136 x + 1300 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 136 ) \pm ( - 136 ) ^{2} - 4 \cdot 3 \cdot 1300}{2 \cdot 3}

(- 136)^{2} - 4 \cdot 3 \cdot 1300 = 4181

x_{1, 2} = \frac{- ( - 136 ) \pm 4 181}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 136 ) + 4 181}{2 \cdot 3}, x_{2} = \frac{- ( - 136 ) - 4 181}{2 \cdot 3}

x = \frac{- ( - 136 ) + 4 181}{2 \cdot 3} : \frac{2 ( 34 + 181 )}{3}

x = \frac{- ( - 136 ) - 4 181}{2 \cdot 3} : \frac{2 ( 34 - 181 )}{3}

二次equationの解:

x = \frac{2 ( 34 + 181 )}{3}, x = \frac{2 ( 34 - 181 )}{3}