x^2-(1+sqrt(2))*x+sqrt(2)=0

解

x^{2} - (1 + 2) \cdot x + 2 = 0

x = 2, x = 1

十進法表記

x = 1.41421 \dots, x = 1

解答ステップ

x^{2} - (1 + 2) x + 2 = 0

解くとthe二次式

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

(- 1 - 2)^{2} - 4 \cdot 1 \cdot 2 = 2 - 1

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

解を分離する

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

x = \frac{- ( - 1 - 2 ) + 2 - 1}{2 \cdot 1} : 2

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

二次equationの解:

x = 2, x = 1