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受欢迎的代数 >

-3w^2+12w-27=0

解答

- 3 w^{2} + 12 w - 27 = 0

解答

w = 2 - 5 i, w = 2 + 5 i

求解步骤

- 3 w^{2} + 12 w - 27 = 0

使用求根公式求解

w_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 ( - 3 ) ( - 27 )}{2 ( - 3 )}

化简

1 2^{2} - 4 (- 3) (- 27) : 65 i

w_{1, 2} = \frac{- 12 \pm 6 5 i}{2 ( - 3 )}

将解分隔开

w_{1} = \frac{- 12 + 6 5 i}{2 ( - 3 )}, w_{2} = \frac{- 12 - 6 5 i}{2 ( - 3 )}

w = \frac{- 12 + 6 5 i}{2 ( - 3 )} : 2 - 5 i

w = \frac{- 12 - 6 5 i}{2 ( - 3 )} : 2 + 5 i

二次方程组的解是:

w = 2 - 5 i, w = 2 + 5 i

作图

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