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受欢迎的代数 >

0=-4.9t^2+25t

解答

0 = - 4.9 t^{2} + 25 t

解答

t = 0, t = \frac{250}{49}

+1

十进制

t = 0, t = 5.10204 \dots

求解步骤

0 = - 4.9 t^{2} + 25 t

在两边乘以

10

0 = - 49 t^{2} + 250 t

交换两边

- 49 t^{2} + 250 t = 0

使用求根公式求解

t_{1, 2} = \frac{- 250 \pm 25 0 ^{2} - 4 ( - 49 ) \cdot 0}{2 ( - 49 )}

25 0^{2} - 4 (- 49) \cdot 0 = 250

t_{1, 2} = \frac{- 250 \pm 250}{2 ( - 49 )}

将解分隔开

t_{1} = \frac{- 250 + 250}{2 ( - 49 )}, t_{2} = \frac{- 250 - 250}{2 ( - 49 )}

t = \frac{- 250 + 250}{2 ( - 49 )} : 0

t = \frac{- 250 - 250}{2 ( - 49 )} : \frac{250}{49}

二次方程组的解是:

t = 0, t = \frac{250}{49}

作图

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