3x^2-24x+45=0

解

3 x^{2} - 24 x + 45 = 0

x = 5, x = 3

解答ステップ

3 x^{2} - 24 x + 45 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 3 \cdot 45}{2 \cdot 3}

(- 24)^{2} - 4 \cdot 3 \cdot 45 = 6

x_{1, 2} = \frac{- ( - 24 ) \pm 6}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 24 ) + 6}{2 \cdot 3}, x_{2} = \frac{- ( - 24 ) - 6}{2 \cdot 3}

x = \frac{- ( - 24 ) + 6}{2 \cdot 3} : 5

x = \frac{- ( - 24 ) - 6}{2 \cdot 3} : 3

二次equationの解:

x = 5, x = 3