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受欢迎的代数 >

-3=5.475t+0.5(-9.8)t^2

解答

- 3 = 5.475 t + 0.5 (- 9.8) t^{2}

解答

t = - \frac{- 219 + 142041}{392}, t = \frac{219 + 142041}{392}

+1

十进制

t = - 0.40276 \dots, t = 1.52011 \dots

求解步骤

- 3 = 5.475 t + 0.5 (- 9.8) t^{2}

在两边乘以

1000

- 3000 = 5475 t - 4900 t^{2}

交换两边

5475 t - 4900 t^{2} = - 3000

将

3000

para o lado esquerdo

5475 t - 4900 t^{2} + 3000 = 0

改写成标准形式

a x^{2} + b x + c = 0

- 4900 t^{2} + 5475 t + 3000 = 0

使用求根公式求解

t_{1, 2} = \frac{- 5475 \pm 547 5 ^{2} - 4 ( - 4900 ) \cdot 3000}{2 ( - 4900 )}

547 5^{2} - 4 (- 4900) \cdot 3000 = 25142041

t_{1, 2} = \frac{- 5475 \pm 25 142041}{2 ( - 4900 )}

将解分隔开

t_{1} = \frac{- 5475 + 25 142041}{2 ( - 4900 )}, t_{2} = \frac{- 5475 - 25 142041}{2 ( - 4900 )}

t = \frac{- 5475 + 25 142041}{2 ( - 4900 )} : - \frac{- 219 + 142041}{392}

t = \frac{- 5475 - 25 142041}{2 ( - 4900 )} : \frac{219 + 142041}{392}

二次方程组的解是:

t = - \frac{- 219 + 142041}{392}, t = \frac{219 + 142041}{392}

作图

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