quadraticformula 3x^2-7x+4=0

解

3 x^{2} - 7 x + 4 = 0

x = \frac{4}{3}, x = 1

十進法表記

x = 1.33333 \dots, x = 1

解答ステップ

3 x^{2} - 7 x + 4 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 \cdot 4}{2 \cdot 3}

(- 7)^{2} - 4 \cdot 3 \cdot 4 = 1

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

解を分離する

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

x = \frac{- ( - 7 ) + 1}{2 \cdot 3} : \frac{4}{3}

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

二次equationの解:

x = \frac{4}{3}, x = 1