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受欢迎的代数 >

0=-4.9t^22+5t+185

解答

0 = - 4.9 t^{2} 2 + 5 t + 185

解答

t = - \frac{5 ( 7277 - 5 )}{98}, t = \frac{5 ( 5 + 7277 )}{98}

+1

十进制

t = - 4.09721 \dots, t = 4.60741 \dots

求解步骤

0 = - 4.9 t^{2} \cdot 2 + 5 t + 185

在两边乘以

10

0 = - 98 t^{2} + 50 t + 1850

交换两边

- 98 t^{2} + 50 t + 1850 = 0

使用求根公式求解

t_{1, 2} = \frac{- 50 \pm 5 0 ^{2} - 4 ( - 98 ) \cdot 1850}{2 ( - 98 )}

5 0^{2} - 4 (- 98) \cdot 1850 = 107277

t_{1, 2} = \frac{- 50 \pm 10 7277}{2 ( - 98 )}

将解分隔开

t_{1} = \frac{- 50 + 10 7277}{2 ( - 98 )}, t_{2} = \frac{- 50 - 10 7277}{2 ( - 98 )}

t = \frac{- 50 + 10 7277}{2 ( - 98 )} : - \frac{5 ( 7277 - 5 )}{98}

t = \frac{- 50 - 10 7277}{2 ( - 98 )} : \frac{5 ( 5 + 7277 )}{98}

二次方程组的解是:

t = - \frac{5 ( 7277 - 5 )}{98}, t = \frac{5 ( 5 + 7277 )}{98}

作图

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