6x^2-30x+36=0

解

6 x^{2} - 30 x + 36 = 0

x = 3, x = 2

解答ステップ

6 x^{2} - 30 x + 36 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 6 \cdot 36}{2 \cdot 6}

(- 30)^{2} - 4 \cdot 6 \cdot 36 = 6

x_{1, 2} = \frac{- ( - 30 ) \pm 6}{2 \cdot 6}

解を分離する

x_{1} = \frac{- ( - 30 ) + 6}{2 \cdot 6}, x_{2} = \frac{- ( - 30 ) - 6}{2 \cdot 6}

x = \frac{- ( - 30 ) + 6}{2 \cdot 6} : 3

x = \frac{- ( - 30 ) - 6}{2 \cdot 6} : 2

二次equationの解:

x = 3, x = 2