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受欢迎的代数 >

0=-16t^2-50t+240

解答

0 = - 16 t^{2} - 50 t + 240

解答

t = - \frac{25 + 4465}{16}, t = \frac{4465 - 25}{16}

+1

十进制

t = - 5.73879 \dots, t = 2.61379 \dots

求解步骤

0 = - 16 t^{2} - 50 t + 240

交换两边

- 16 t^{2} - 50 t + 240 = 0

使用求根公式求解

t_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 ( - 16 ) \cdot 240}{2 ( - 16 )}

(- 50)^{2} - 4 (- 16) \cdot 240 = 24465

t_{1, 2} = \frac{- ( - 50 ) \pm 2 4465}{2 ( - 16 )}

将解分隔开

t_{1} = \frac{- ( - 50 ) + 2 4465}{2 ( - 16 )}, t_{2} = \frac{- ( - 50 ) - 2 4465}{2 ( - 16 )}

t = \frac{- ( - 50 ) + 2 4465}{2 ( - 16 )} : - \frac{25 + 4465}{16}

t = \frac{- ( - 50 ) - 2 4465}{2 ( - 16 )} : \frac{4465 - 25}{16}

二次方程组的解是:

t = - \frac{25 + 4465}{16}, t = \frac{4465 - 25}{16}

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