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人気のある代数 >

solvefor t,0-75=15.5t+1/2(-9.8)*t^2

解

t, 0 - 75 = 15.5 \cdot t + \frac{1}{2} \cdot (- 9.8) \cdot t^{2}

解

t = - \frac{- 155 + 5 6841}{98}, t = \frac{155 + 5 6841}{98}

+1

十進法表記

t = - 2.63828 \dots, t = 5.80154 \dots

解答ステップ

0 - 75 = 15.5 t + \frac{1}{2} (- 9.8) t^{2}

以下で両辺を乗じる:

10

- 750 = 155 t - 49 t^{2}

辺を交換する

155 t - 49 t^{2} = - 750

750

を左側に移動します

155 t - 49 t^{2} + 750 = 0

標準的な形式で書く

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

- 49 t^{2} + 155 t + 750 = 0

解くとthe二次式

t_{1, 2} = \frac{- 155 \pm 15 5 ^{2} - 4 ( - 49 ) \cdot 750}{2 ( - 49 )}

15 5^{2} - 4 (- 49) \cdot 750 = 56841

t_{1, 2} = \frac{- 155 \pm 5 6841}{2 ( - 49 )}

解を分離する

t_{1} = \frac{- 155 + 5 6841}{2 ( - 49 )}, t_{2} = \frac{- 155 - 5 6841}{2 ( - 49 )}

t = \frac{- 155 + 5 6841}{2 ( - 49 )} : - \frac{- 155 + 5 6841}{98}

t = \frac{- 155 - 5 6841}{2 ( - 49 )} : \frac{155 + 5 6841}{98}

二次equationの解:

t = - \frac{- 155 + 5 6841}{98}, t = \frac{155 + 5 6841}{98}

グラフ

人気の例

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x^{2} - 2 x + 2 = 0, x^{2} - 2 x + 4 = 0

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