sqrt(2)*x^2-3x-2sqrt(2)=0

解

2 \cdot x^{2} - 3 x - 22 = 0

x = 22, x = - \frac{1}{2}

十進法表記

x = 2.82842 \dots, x = - 0.70710 \dots

解答ステップ

2 x^{2} - 3 x - 22 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 2 ( - 2 2 )}{2 2}

(- 3)^{2} - 42 (- 22) = 5

x_{1, 2} = \frac{- ( - 3 ) \pm 5}{2 2}

解を分離する

x_{1} = \frac{- ( - 3 ) + 5}{2 2}, x_{2} = \frac{- ( - 3 ) - 5}{2 2}

x = \frac{- ( - 3 ) + 5}{2 2} : 22

x = \frac{- ( - 3 ) - 5}{2 2} : - \frac{1}{2}

二次equationの解:

x = 22, x = - \frac{1}{2}