sqrt(2)*x^2+7x+5sqrt(2)=0

解

2 \cdot x^{2} + 7 x + 52 = 0

x = - 2, x = - \frac{5}{2}

十進法表記

x = - 1.41421 \dots, x = - 3.53553 \dots

解答ステップ

2 x^{2} + 7 x + 52 = 0

解くとthe二次式

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 2 \cdot 5 2}{2 2}

7^{2} - 42 \cdot 52 = 3

x_{1, 2} = \frac{- 7 \pm 3}{2 2}

解を分離する

x_{1} = \frac{- 7 + 3}{2 2}, x_{2} = \frac{- 7 - 3}{2 2}

x = \frac{- 7 + 3}{2 2} : - 2

x = \frac{- 7 - 3}{2 2} : - \frac{5}{2}

二次equationの解:

x = - 2, x = - \frac{5}{2}