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人気のある代数 >

100+50t-4.9t^2=0

解

100 + 50 t - 4.9 t^{2} = 0

解

t = - \frac{10 ( 1115 - 25 )}{49}, t = \frac{10 ( 25 + 1115 )}{49}

+1

十進法表記

t = - 1.71257 \dots, t = 11.91665 \dots

解答ステップ

100 + 50 t - 4.9 t^{2} = 0

以下で両辺を乗じる:

10

1000 + 500 t - 49 t^{2} = 0

標準的な形式で書く

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

- 49 t^{2} + 500 t + 1000 = 0

解くとthe二次式

t_{1, 2} = \frac{- 500 \pm 50 0 ^{2} - 4 ( - 49 ) \cdot 1000}{2 ( - 49 )}

50 0^{2} - 4 (- 49) \cdot 1000 = 201115

t_{1, 2} = \frac{- 500 \pm 20 1115}{2 ( - 49 )}

解を分離する

t_{1} = \frac{- 500 + 20 1115}{2 ( - 49 )}, t_{2} = \frac{- 500 - 20 1115}{2 ( - 49 )}

t = \frac{- 500 + 20 1115}{2 ( - 49 )} : - \frac{10 ( 1115 - 25 )}{49}

t = \frac{- 500 - 20 1115}{2 ( - 49 )} : \frac{10 ( 25 + 1115 )}{49}

二次equationの解:

t = - \frac{10 ( 1115 - 25 )}{49}, t = \frac{10 ( 25 + 1115 )}{49}

グラフ

人気の例

quadraticformula x^2-4x=0

q u a d r a t i c f or m u l a x^{2} - 4 x = 0

x^{2} + 0.5 x + 1 = 0

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

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

x (x - 11) = 3

5 m^{2} + m = 120