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人気のある代数 >

t= 1/2(-9.81)t^2+20*t+5

解

t = \frac{1}{2} \cdot (- 9.81) \cdot t^{2} + 20 \cdot t + 5

解

t = - \frac{- 38 + 1836.4}{19.62}, t = \frac{38 + 1836.4}{19.62}

+1

十進法表記

t = - 0.24736 \dots, t = 4.12096 \dots

解答ステップ

t = \frac{1}{2} (- 9.81) t^{2} + 20 t + 5

以下で両辺を乗じる:

2

2 t = - 9.81 t^{2} + 40 t + 10

辺を交換する

- 9.81 t^{2} + 40 t + 10 = 2 t

2 t

を左側に移動します

- 9.81 t^{2} + 38 t + 10 = 0

解くとthe二次式

t_{1, 2} = \frac{- 38 \pm 3 8 ^{2} - 4 ( - 9.81 ) \cdot 10}{2 ( - 9.81 )}

3 8^{2} - 4 (- 9.81) \cdot 10 = 1836.4

t_{1, 2} = \frac{- 38 \pm 1836.4}{2 ( - 9.81 )}

解を分離する

t_{1} = \frac{- 38 + 1836.4}{2 ( - 9.81 )}, t_{2} = \frac{- 38 - 1836.4}{2 ( - 9.81 )}

t = \frac{- 38 + 1836.4}{2 ( - 9.81 )} : - \frac{- 38 + 1836.4}{19.62}

t = \frac{- 38 - 1836.4}{2 ( - 9.81 )} : \frac{38 + 1836.4}{19.62}

二次equationの解:

t = - \frac{- 38 + 1836.4}{19.62}, t = \frac{38 + 1836.4}{19.62}

グラフ

人気の例

- 4 d^{2} - d + 3 = 0

40x=-1000+25x+1/2 (1.5)x^2

40 x = - 1000 + 25 x + \frac{1}{2} (1.5) x^{2}

solvefor y=3x^2-5x-4,x

so l v e f or y = 3 x^{2} - 5 x - 4, x

2 r^{2} - 3 r - 8 = 0

(x-1)^2=x-3(x-3+5)

(x - 1)^{2} = x - 3 (x - 3 + 5)