0.4048x^2-60.726x+1812.9=0

解

0.4048 x^{2} - 60.726 x + 1812.9 = 0

x = \frac{60.726 + 752.199396}{0.8096}, x = \frac{60.726 - 752.199396}{0.8096}

十進法表記

x = 108.88371 \dots, x = 41.13110 \dots

解答ステップ

0.4048 x^{2} - 60.726 x + 1812.9 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 60.726 ) \pm ( - 60.726 ) ^{2} - 4 \cdot 0.4048 \cdot 1812.9}{2 \cdot 0.4048}

(- 60.726)^{2} - 4 \cdot 0.4048 \cdot 1812.9 = 752.199396

x_{1, 2} = \frac{- ( - 60.726 ) \pm 752.199396}{2 \cdot 0.4048}

解を分離する

x_{1} = \frac{- ( - 60.726 ) + 752.199396}{2 \cdot 0.4048}, x_{2} = \frac{- ( - 60.726 ) - 752.199396}{2 \cdot 0.4048}

x = \frac{- ( - 60.726 ) + 752.199396}{2 \cdot 0.4048} : \frac{60.726 + 752.199396}{0.8096}

x = \frac{- ( - 60.726 ) - 752.199396}{2 \cdot 0.4048} : \frac{60.726 - 752.199396}{0.8096}

二次equationの解:

x = \frac{60.726 + 752.199396}{0.8096}, x = \frac{60.726 - 752.199396}{0.8096}