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人気のある代数 >

0=-4.9t^2+100t+20

解

0 = - 4.9 t^{2} + 100 t + 20

解

t = - \frac{10 ( 2598 - 50 )}{49}, t = \frac{10 ( 50 + 2598 )}{49}

+1

十進法表記

t = - 0.19807 \dots, t = 20.60624 \dots

解答ステップ

0 = - 4.9 t^{2} + 100 t + 20

以下で両辺を乗じる:

10

0 = - 49 t^{2} + 1000 t + 200

辺を交換する

- 49 t^{2} + 1000 t + 200 = 0

解くとthe二次式

t_{1, 2} = \frac{- 1000 \pm 100 0 ^{2} - 4 ( - 49 ) \cdot 200}{2 ( - 49 )}

100 0^{2} - 4 (- 49) \cdot 200 = 202598

t_{1, 2} = \frac{- 1000 \pm 20 2598}{2 ( - 49 )}

解を分離する

t_{1} = \frac{- 1000 + 20 2598}{2 ( - 49 )}, t_{2} = \frac{- 1000 - 20 2598}{2 ( - 49 )}

t = \frac{- 1000 + 20 2598}{2 ( - 49 )} : - \frac{10 ( 2598 - 50 )}{49}

t = \frac{- 1000 - 20 2598}{2 ( - 49 )} : \frac{10 ( 50 + 2598 )}{49}

二次equationの解:

t = - \frac{10 ( 2598 - 50 )}{49}, t = \frac{10 ( 50 + 2598 )}{49}

グラフ

人気の例

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- 1.86 x^{2} + 18.76 x + 1.21 = 10

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