-16t^2+100t+85=0

解答

- 16 t^{2} + 100 t + 85 = 0

t = - \frac{- 25 + 965}{8}, t = \frac{25 + 965}{8}

十进制

t = - 0.75805 \dots, t = 7.00805 \dots

求解步骤

- 16 t^{2} + 100 t + 85 = 0

使用求根公式求解

t_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 ( - 16 ) \cdot 85}{2 ( - 16 )}

10 0^{2} - 4 (- 16) \cdot 85 = 4965

t_{1, 2} = \frac{- 100 \pm 4 965}{2 ( - 16 )}

将解分隔开

t_{1} = \frac{- 100 + 4 965}{2 ( - 16 )}, t_{2} = \frac{- 100 - 4 965}{2 ( - 16 )}

t = \frac{- 100 + 4 965}{2 ( - 16 )} : - \frac{- 25 + 965}{8}

t = \frac{- 100 - 4 965}{2 ( - 16 )} : \frac{25 + 965}{8}

二次方程组的解是:

t = - \frac{- 25 + 965}{8}, t = \frac{25 + 965}{8}

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