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受欢迎的代数 >

5x+x^2+9=0

解答

5 x + x^{2} + 9 = 0

解答

x = - \frac{5}{2} + i \frac{11}{2}, x = - \frac{5}{2} - i \frac{11}{2}

求解步骤

5 x + x^{2} + 9 = 0

改写成标准形式

a x^{2} + b x + c = 0

x^{2} + 5 x + 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot 9}{2 \cdot 1}

化简

5^{2} - 4 \cdot 1 \cdot 9 : 11 i

x_{1, 2} = \frac{- 5 \pm 11 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 5 + 11 i}{2 \cdot 1}, x_{2} = \frac{- 5 - 11 i}{2 \cdot 1}

x = \frac{- 5 + 11 i}{2 \cdot 1} : - \frac{5}{2} + i \frac{11}{2}

x = \frac{- 5 - 11 i}{2 \cdot 1} : - \frac{5}{2} - i \frac{11}{2}

二次方程组的解是:

x = - \frac{5}{2} + i \frac{11}{2}, x = - \frac{5}{2} - i \frac{11}{2}

作图

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