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人気のある代数 >

20t+1/2 (9.8)t^2=12t+1/2 (-9.8)(t-3)^2

解

20 t + \frac{1}{2} (9.8) t^{2} = 12 t + \frac{1}{2} (- 9.8) (t - 3)^{2}

解

t = \frac{42.8}{39.2} - i \frac{5083.04}{39.2}, t = \frac{42.8}{39.2} + i \frac{5083.04}{39.2}

解答ステップ

20 t + \frac{1}{2} (9.8) t^{2} = 12 t + \frac{1}{2} (- 9.8) (t - 3)^{2}

以下で両辺を乗じる:

2

40 t + 9.8 t^{2} = 24 t - 9.8 (t - 3)^{2}

拡張

24 t - 9.8 (t - 3)^{2} : - 9.8 t^{2} + 82.8 t - 88.2

40 t + 9.8 t^{2} = - 9.8 t^{2} + 82.8 t - 88.2

辺を交換する

- 9.8 t^{2} + 82.8 t - 88.2 = 40 t + 9.8 t^{2}

9.8 t^{2}

を左側に移動します

- 19.6 t^{2} + 82.8 t - 88.2 = 40 t

40 t

を左側に移動します

- 19.6 t^{2} + 42.8 t - 88.2 = 0

解くとthe二次式

t_{1, 2} = \frac{- 42.8 \pm 42. 8 ^{2} - 4 ( - 19.6 ) ( - 88.2 )}{2 ( - 19.6 )}

簡素化

42. 8^{2} - 4 (- 19.6) (- 88.2) : 5083.04 i

t_{1, 2} = \frac{- 42.8 \pm 5083.04 i}{2 ( - 19.6 )}

解を分離する

t_{1} = \frac{- 42.8 + 5083.04 i}{2 ( - 19.6 )}, t_{2} = \frac{- 42.8 - 5083.04 i}{2 ( - 19.6 )}

t = \frac{- 42.8 + 5083.04 i}{2 ( - 19.6 )} : \frac{42.8}{39.2} - i \frac{5083.04}{39.2}

t = \frac{- 42.8 - 5083.04 i}{2 ( - 19.6 )} : \frac{42.8}{39.2} + i \frac{5083.04}{39.2}

二次equationの解:

t = \frac{42.8}{39.2} - i \frac{5083.04}{39.2}, t = \frac{42.8}{39.2} + i \frac{5083.04}{39.2}

グラフ

人気の例

因数 x^4-4x^3-x^2+4x

f a c t or x^{4} - 4 x^{3} - x^{2} + 4 x

(x + 1)^{2} = 7

因数 a^2-3a+2ab-6b

f a c t or a^{2} - 3 a + 2 ab - 6 b

x^{2} + 10 x - 96 = 0

w^{2} = 64