75x^2+1.86854059x-3.373708118=0

解

75 x^{2} + 1.86854059 x - 3.373708118 = 0

x = \frac{- 1.86854059 + 1015.60387 \dots}{150}, x = \frac{- 1.86854059 - 1015.60387 \dots}{150}

十進法表記

x = 0.2, x = - 0.22491 \dots

解答ステップ

75 x^{2} + 1.86854059 x - 3.37370 \dots = 0

解くとthe二次式

x_{1, 2} = \frac{- 1.86854059 \pm 1.8685405 9 ^{2} - 4 \cdot 75 ( - 3.37370 \dots )}{2 \cdot 75}

1.8685405 9^{2} - 4 \cdot 75 (- 3.37370 \dots) = 1015.60387 \dots

x_{1, 2} = \frac{- 1.86854059 \pm 1015.60387 \dots}{2 \cdot 75}

解を分離する

x_{1} = \frac{- 1.86854059 + 1015.60387 \dots}{2 \cdot 75}, x_{2} = \frac{- 1.86854059 - 1015.60387 \dots}{2 \cdot 75}

x = \frac{- 1.86854059 + 1015.60387 \dots}{2 \cdot 75} : \frac{- 1.86854059 + 1015.60387 \dots}{150}

x = \frac{- 1.86854059 - 1015.60387 \dots}{2 \cdot 75} : \frac{- 1.86854059 - 1015.60387 \dots}{150}

二次equationの解:

x = \frac{- 1.86854059 + 1015.60387 \dots}{150}, x = \frac{- 1.86854059 - 1015.60387 \dots}{150}