4x^2+0.36x-0.0108=0

解

4 x^{2} + 0.36 x - 0.0108 = 0

x = \frac{- 0.36 + 0.3024}{8}, x = \frac{- 0.36 - 0.3024}{8}

十進法表記

x = 0.02373 \dots, x = - 0.11373 \dots

解答ステップ

4 x^{2} + 0.36 x - 0.0108 = 0

解くとthe二次式

x_{1, 2} = \frac{- 0.36 \pm 0.3 6 ^{2} - 4 \cdot 4 ( - 0.0108 )}{2 \cdot 4}

0.3 6^{2} - 4 \cdot 4 (- 0.0108) = 0.3024

x_{1, 2} = \frac{- 0.36 \pm 0.3024}{2 \cdot 4}

解を分離する

x_{1} = \frac{- 0.36 + 0.3024}{2 \cdot 4}, x_{2} = \frac{- 0.36 - 0.3024}{2 \cdot 4}

x = \frac{- 0.36 + 0.3024}{2 \cdot 4} : \frac{- 0.36 + 0.3024}{8}

x = \frac{- 0.36 - 0.3024}{2 \cdot 4} : \frac{- 0.36 - 0.3024}{8}

二次equationの解:

x = \frac{- 0.36 + 0.3024}{8}, x = \frac{- 0.36 - 0.3024}{8}