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受欢迎的代数 >

s^2-30s+205=-46

解答

s^{2} - 30 s + 205 = - 46

解答

s = 15 + 26 i, s = 15 - 26 i

求解步骤

s^{2} - 30 s + 205 = - 46

将

46

para o lado esquerdo

s^{2} - 30 s + 251 = 0

使用求根公式求解

s_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 1 \cdot 251}{2 \cdot 1}

化简

(- 30)^{2} - 4 \cdot 1 \cdot 251 : 226 i

s_{1, 2} = \frac{- ( - 30 ) \pm 2 26 i}{2 \cdot 1}

将解分隔开

s_{1} = \frac{- ( - 30 ) + 2 26 i}{2 \cdot 1}, s_{2} = \frac{- ( - 30 ) - 2 26 i}{2 \cdot 1}

s = \frac{- ( - 30 ) + 2 26 i}{2 \cdot 1} : 15 + 26 i

s = \frac{- ( - 30 ) - 2 26 i}{2 \cdot 1} : 15 - 26 i

二次方程组的解是:

s = 15 + 26 i, s = 15 - 26 i

作图

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