2x^2-4x=3

解

2 x^{2} - 4 x = 3

x = \frac{2 + 10}{2}, x = \frac{2 - 10}{2}

十進法表記

x = 2.58113 \dots, x = - 0.58113 \dots

解答ステップ

2 x^{2} - 4 x = 3

3

を左側に移動します

2 x^{2} - 4 x - 3 = 0

解くとthe二次式

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

(- 4)^{2} - 4 \cdot 2 (- 3) = 210

x_{1, 2} = \frac{- ( - 4 ) \pm 2 10}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - 4 ) + 2 10}{2 \cdot 2}, x_{2} = \frac{- ( - 4 ) - 2 10}{2 \cdot 2}

x = \frac{- ( - 4 ) + 2 10}{2 \cdot 2} : \frac{2 + 10}{2}

x = \frac{- ( - 4 ) - 2 10}{2 \cdot 2} : \frac{2 - 10}{2}

二次equationの解:

x = \frac{2 + 10}{2}, x = \frac{2 - 10}{2}