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

解

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

x = 1 + 2, x = 2 - 2

十進法表記

x = 2.41421 \dots, x = 0.58578 \dots

解答ステップ

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

解くとthe二次式

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

(- 3)^{2} - 4 \cdot 1 \cdot 2 = 22 - 1

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

解を分離する

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

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

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

二次equationの解:

x = 1 + 2, x = 2 - 2