3x^2-3x-4=0

解

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

x = \frac{3 + 57}{6}, x = \frac{3 - 57}{6}

十進法表記

x = 1.75830 \dots, x = - 0.75830 \dots

解答ステップ

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

解くとthe二次式

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

(- 3)^{2} - 4 \cdot 3 (- 4) = 57

x_{1, 2} = \frac{- ( - 3 ) \pm 57}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 3 ) + 57}{2 \cdot 3}, x_{2} = \frac{- ( - 3 ) - 57}{2 \cdot 3}

x = \frac{- ( - 3 ) + 57}{2 \cdot 3} : \frac{3 + 57}{6}

x = \frac{- ( - 3 ) - 57}{2 \cdot 3} : \frac{3 - 57}{6}

二次equationの解:

x = \frac{3 + 57}{6}, x = \frac{3 - 57}{6}