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受欢迎的代数 >

-2x^2+3x-9=0

解答

- 2 x^{2} + 3 x - 9 = 0

解答

x = \frac{3}{4} - i \frac{3 7}{4}, x = \frac{3}{4} + i \frac{3 7}{4}

求解步骤

- 2 x^{2} + 3 x - 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 ( - 2 ) ( - 9 )}{2 ( - 2 )}

化简

3^{2} - 4 (- 2) (- 9) : 37 i

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

将解分隔开

x_{1} = \frac{- 3 + 3 7 i}{2 ( - 2 )}, x_{2} = \frac{- 3 - 3 7 i}{2 ( - 2 )}

x = \frac{- 3 + 3 7 i}{2 ( - 2 )} : \frac{3}{4} - i \frac{3 7}{4}

x = \frac{- 3 - 3 7 i}{2 ( - 2 )} : \frac{3}{4} + i \frac{3 7}{4}

二次方程组的解是:

x = \frac{3}{4} - i \frac{3 7}{4}, x = \frac{3}{4} + i \frac{3 7}{4}

作图

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