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受欢迎的代数 >

0=0.0034965t^2-0.16809t+25.74

解答

0 = 0.0034965 t^{2} - 0.16809 t + 25.74

解答

t = \frac{0.16809}{0.006993} + i \frac{0.3317453919}{0.006993}, t = \frac{0.16809}{0.006993} - i \frac{0.3317453919}{0.006993}

求解步骤

0 = 0.0034965 t^{2} - 0.16809 t + 25.74

交换两边

0.0034965 t^{2} - 0.16809 t + 25.74 = 0

使用求根公式求解

t_{1, 2} = \frac{- ( - 0.16809 ) \pm ( - 0.16809 ) ^{2} - 4 \cdot 0.0034965 \cdot 25.74}{2 \cdot 0.0034965}

化简

(- 0.16809)^{2} - 4 \cdot 0.0034965 \cdot 25.74 : 0.3317453919 i

t_{1, 2} = \frac{- ( - 0.16809 ) \pm 0.3317453919 i}{2 \cdot 0.0034965}

将解分隔开

t_{1} = \frac{- ( - 0.16809 ) + 0.3317453919 i}{2 \cdot 0.0034965}, t_{2} = \frac{- ( - 0.16809 ) - 0.3317453919 i}{2 \cdot 0.0034965}

t = \frac{- ( - 0.16809 ) + 0.3317453919 i}{2 \cdot 0.0034965} : \frac{0.16809}{0.006993} + i \frac{0.3317453919}{0.006993}

t = \frac{- ( - 0.16809 ) - 0.3317453919 i}{2 \cdot 0.0034965} : \frac{0.16809}{0.006993} - i \frac{0.3317453919}{0.006993}

二次方程组的解是:

t = \frac{0.16809}{0.006993} + i \frac{0.3317453919}{0.006993}, t = \frac{0.16809}{0.006993} - i \frac{0.3317453919}{0.006993}

作图

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