3sqrt(2)*x^2-5x-sqrt(2)=0

解

32 \cdot x^{2} - 5 x - 2 = 0

x = 2, x = - \frac{1}{3 2}

十進法表記

x = 1.41421 \dots, x = - 0.23570 \dots

解答ステップ

32 x^{2} - 5 x - 2 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 3 2 ( - 2 )}{2 \cdot 3 2}

(- 5)^{2} - 4 \cdot 32 (- 2) = 7

x_{1, 2} = \frac{- ( - 5 ) \pm 7}{2 \cdot 3 2}

解を分離する

x_{1} = \frac{- ( - 5 ) + 7}{2 \cdot 3 2}, x_{2} = \frac{- ( - 5 ) - 7}{2 \cdot 3 2}

x = \frac{- ( - 5 ) + 7}{2 \cdot 3 2} : 2

x = \frac{- ( - 5 ) - 7}{2 \cdot 3 2} : - \frac{1}{3 2}

二次equationの解:

x = 2, x = - \frac{1}{3 2}