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受欢迎的代数 >

2x^2+12x+19=0

解答

2 x^{2} + 12 x + 19 = 0

解答

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

求解步骤

2 x^{2} + 12 x + 19 = 0

使用求根公式求解

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 2 \cdot 19}{2 \cdot 2}

化简

1 2^{2} - 4 \cdot 2 \cdot 19 : 22 i

x_{1, 2} = \frac{- 12 \pm 2 2 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 12 + 2 2 i}{2 \cdot 2}, x_{2} = \frac{- 12 - 2 2 i}{2 \cdot 2}

x = \frac{- 12 + 2 2 i}{2 \cdot 2} : - 3 + i \frac{2}{2}

x = \frac{- 12 - 2 2 i}{2 \cdot 2} : - 3 - i \frac{2}{2}

二次方程组的解是:

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

作图

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