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受欢迎的代数 >

-3x^2+2x-7=0

解答

- 3 x^{2} + 2 x - 7 = 0

解答

x = \frac{1}{3} - i \frac{2 5}{3}, x = \frac{1}{3} + i \frac{2 5}{3}

求解步骤

- 3 x^{2} + 2 x - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( - 3 ) ( - 7 )}{2 ( - 3 )}

化简

2^{2} - 4 (- 3) (- 7) : 45 i

x_{1, 2} = \frac{- 2 \pm 4 5 i}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- 2 + 4 5 i}{2 ( - 3 )}, x_{2} = \frac{- 2 - 4 5 i}{2 ( - 3 )}

x = \frac{- 2 + 4 5 i}{2 ( - 3 )} : \frac{1}{3} - i \frac{2 5}{3}

x = \frac{- 2 - 4 5 i}{2 ( - 3 )} : \frac{1}{3} + i \frac{2 5}{3}

二次方程组的解是:

x = \frac{1}{3} - i \frac{2 5}{3}, x = \frac{1}{3} + i \frac{2 5}{3}

作图

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