-3x^2+18x-15=0

解

- 3 x^{2} + 18 x - 15 = 0

x = 1, x = 5

解答ステップ

- 3 x^{2} + 18 x - 15 = 0

解くとthe二次式

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 ( - 3 ) ( - 15 )}{2 ( - 3 )}

1 8^{2} - 4 (- 3) (- 15) = 12

x_{1, 2} = \frac{- 18 \pm 12}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- 18 + 12}{2 ( - 3 )}, x_{2} = \frac{- 18 - 12}{2 ( - 3 )}

x = \frac{- 18 + 12}{2 ( - 3 )} : 1

x = \frac{- 18 - 12}{2 ( - 3 )} : 5

二次equationの解:

x = 1, x = 5