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受欢迎的代数 >

s^2+s+10=0

解答

s^{2} + s + 10 = 0

解答

s = - \frac{1}{2} + i \frac{39}{2}, s = - \frac{1}{2} - i \frac{39}{2}

求解步骤

s^{2} + s + 10 = 0

使用求根公式求解

s_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 1 \cdot 10}{2 \cdot 1}

化简

1^{2} - 4 \cdot 1 \cdot 10 : 39 i

s_{1, 2} = \frac{- 1 \pm 39 i}{2 \cdot 1}

将解分隔开

s_{1} = \frac{- 1 + 39 i}{2 \cdot 1}, s_{2} = \frac{- 1 - 39 i}{2 \cdot 1}

s = \frac{- 1 + 39 i}{2 \cdot 1} : - \frac{1}{2} + i \frac{39}{2}

s = \frac{- 1 - 39 i}{2 \cdot 1} : - \frac{1}{2} - i \frac{39}{2}

二次方程组的解是:

s = - \frac{1}{2} + i \frac{39}{2}, s = - \frac{1}{2} - i \frac{39}{2}

作图

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