-x^2-6x+6=0

解答

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

x = - 3 - 15, x = 15 - 3

十进制

x = - 6.87298 \dots, x = 0.87298 \dots

求解步骤

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

使用求根公式求解

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

(- 6)^{2} - 4 (- 1) \cdot 6 = 215

x_{1, 2} = \frac{- ( - 6 ) \pm 2 15}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 2 15}{2 ( - 1 )}, x_{2} = \frac{- ( - 6 ) - 2 15}{2 ( - 1 )}

x = \frac{- ( - 6 ) + 2 15}{2 ( - 1 )} : - 3 - 15

x = \frac{- ( - 6 ) - 2 15}{2 ( - 1 )} : 15 - 3

二次方程组的解是:

x = - 3 - 15, x = 15 - 3