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人気のある代数 >

450-5t-4.9t^2=0

解

450 - 5 t - 4.9 t^{2} = 0

解

t = - \frac{5 ( 5 + 8845 )}{49}, t = \frac{5 ( 8845 - 5 )}{49}

+1

十進法表記

t = - 10.10692 \dots, t = 9.08651 \dots

解答ステップ

450 - 5 t - 4.9 t^{2} = 0

以下で両辺を乗じる:

10

4500 - 50 t - 49 t^{2} = 0

標準的な形式で書く

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

- 49 t^{2} - 50 t + 4500 = 0

解くとthe二次式

t_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 ( - 49 ) \cdot 4500}{2 ( - 49 )}

(- 50)^{2} - 4 (- 49) \cdot 4500 = 108845

t_{1, 2} = \frac{- ( - 50 ) \pm 10 8845}{2 ( - 49 )}

解を分離する

t_{1} = \frac{- ( - 50 ) + 10 8845}{2 ( - 49 )}, t_{2} = \frac{- ( - 50 ) - 10 8845}{2 ( - 49 )}

t = \frac{- ( - 50 ) + 10 8845}{2 ( - 49 )} : - \frac{5 ( 5 + 8845 )}{49}

t = \frac{- ( - 50 ) - 10 8845}{2 ( - 49 )} : \frac{5 ( 8845 - 5 )}{49}

二次equationの解:

t = - \frac{5 ( 5 + 8845 )}{49}, t = \frac{5 ( 8845 - 5 )}{49}

グラフ

人気の例

x^{2} + \frac{6}{7} x - 1 = 0

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