1.002x^2-11.01x+0.01265=0

解

1.002 x^{2} - 11.01 x + 0.01265 = 0

x = \frac{11.01 + 121.16939 \dots}{2.004}, x = \frac{11.01 - 121.16939 \dots}{2.004}

十進法表記

x = 10.98687 \dots, x = 0.00114 \dots

解答ステップ

1.002 x^{2} - 11.01 x + 0.01265 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 11.01 ) \pm ( - 11.01 ) ^{2} - 4 \cdot 1.002 \cdot 0.01265}{2 \cdot 1.002}

(- 11.01)^{2} - 4 \cdot 1.002 \cdot 0.01265 = 121.16939 \dots

x_{1, 2} = \frac{- ( - 11.01 ) \pm 121.16939 \dots}{2 \cdot 1.002}

解を分離する

x_{1} = \frac{- ( - 11.01 ) + 121.16939 \dots}{2 \cdot 1.002}, x_{2} = \frac{- ( - 11.01 ) - 121.16939 \dots}{2 \cdot 1.002}

x = \frac{- ( - 11.01 ) + 121.16939 \dots}{2 \cdot 1.002} : \frac{11.01 + 121.16939 \dots}{2.004}

x = \frac{- ( - 11.01 ) - 121.16939 \dots}{2 \cdot 1.002} : \frac{11.01 - 121.16939 \dots}{2.004}

二次equationの解:

x = \frac{11.01 + 121.16939 \dots}{2.004}, x = \frac{11.01 - 121.16939 \dots}{2.004}