750x^2-1350x+210=0

解

750 x^{2} - 1350 x + 210 = 0

x = \frac{9 + 53}{10}, x = \frac{9 - 53}{10}

十進法表記

x = 1.62801 \dots, x = 0.17198 \dots

解答ステップ

750 x^{2} - 1350 x + 210 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 1350 ) \pm ( - 1350 ) ^{2} - 4 \cdot 750 \cdot 210}{2 \cdot 750}

(- 1350)^{2} - 4 \cdot 750 \cdot 210 = 15053

x_{1, 2} = \frac{- ( - 1350 ) \pm 150 53}{2 \cdot 750}

解を分離する

x_{1} = \frac{- ( - 1350 ) + 150 53}{2 \cdot 750}, x_{2} = \frac{- ( - 1350 ) - 150 53}{2 \cdot 750}

x = \frac{- ( - 1350 ) + 150 53}{2 \cdot 750} : \frac{9 + 53}{10}

x = \frac{- ( - 1350 ) - 150 53}{2 \cdot 750} : \frac{9 - 53}{10}

二次equationの解:

x = \frac{9 + 53}{10}, x = \frac{9 - 53}{10}