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受欢迎的代数 >

40+7t+1/2 (-9.81)t^2=0+29t+1/2 (9.81)t^2

解答

40 + 7 t + \frac{1}{2} (- 9.81) t^{2} = 0 + 29 t + \frac{1}{2} (9.81) t^{2}

解答

t = - \frac{44 + 8214.4}{39.24}, t = \frac{8214.4 - 44}{39.24}

+1

十进制

t = - 3.43102 \dots, t = 1.18841 \dots

求解步骤

40 + 7 t + \frac{1}{2} (- 9.81) t^{2} = 0 + 29 t + \frac{1}{2} (9.81) t^{2}

在两边乘以

2

80 + 14 t - 9.81 t^{2} = 0 + 58 t + 9.81 t^{2}

80 + 14 t - 9.81 t^{2} = 9.81 t^{2} + 58 t

将

58 t

para o lado esquerdo

- 9.81 t^{2} - 44 t + 80 = 9.81 t^{2}

将

9.81 t^{2}

para o lado esquerdo

- 19.62 t^{2} - 44 t + 80 = 0

使用求根公式求解

t_{1, 2} = \frac{- ( - 44 ) \pm ( - 44 ) ^{2} - 4 ( - 19.62 ) \cdot 80}{2 ( - 19.62 )}

(- 44)^{2} - 4 (- 19.62) \cdot 80 = 8214.4

t_{1, 2} = \frac{- ( - 44 ) \pm 8214.4}{2 ( - 19.62 )}

将解分隔开

t_{1} = \frac{- ( - 44 ) + 8214.4}{2 ( - 19.62 )}, t_{2} = \frac{- ( - 44 ) - 8214.4}{2 ( - 19.62 )}

t = \frac{- ( - 44 ) + 8214.4}{2 ( - 19.62 )} : - \frac{44 + 8214.4}{39.24}

t = \frac{- ( - 44 ) - 8214.4}{2 ( - 19.62 )} : \frac{8214.4 - 44}{39.24}

二次方程组的解是:

t = - \frac{44 + 8214.4}{39.24}, t = \frac{8214.4 - 44}{39.24}

作图

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