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人気のある代数 >

N(t)=550+20t-0.2t^2

解

N (t) = 550 + 20 t - 0.2 t^{2}

解

t = - \frac{5 ( N + N ^{2} - 40 N + 840 - 20 )}{2}, t = - \frac{5 ( N - N ^{2} - 40 N + 840 - 20 )}{2}

解答ステップ

N (t) = 550 + 20 t - 0.2 t^{2}

以下で両辺を乗じる:

10

Nt \cdot 10 = 5500 + 200 t - 2 t^{2}

辺を交換する

5500 + 200 t - 2 t^{2} = Nt \cdot 10

Nt 10

を左側に移動します

5500 + 200 t - 2 t^{2} - Nt \cdot 10 = 0

標準的な形式で書く

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

- 2 t^{2} + (200 - N \cdot 10) t + 5500 = 0

解くとthe二次式

t_{1, 2} = \frac{- ( 200 - N \cdot 10 ) \pm ( 200 - N \cdot 10 ) ^{2} - 4 ( - 2 ) \cdot 5500}{2 ( - 2 )}

簡素化

(200 - N \cdot 10)^{2} - 4 (- 2) \cdot 5500 : 10 N^{2} - 40 N + 840

t_{1, 2} = \frac{- ( 200 - N \cdot 10 ) \pm 10 N ^{2} - 40 N + 840}{2 ( - 2 )}

解を分離する

t_{1} = \frac{- ( 200 - N \cdot 10 ) + 10 N ^{2} - 40 N + 840}{2 ( - 2 )}, t_{2} = \frac{- ( 200 - N \cdot 10 ) - 10 N ^{2} - 40 N + 840}{2 ( - 2 )}

t = \frac{- ( 200 - N 10 ) + 10 N ^{2} - 40 N + 840}{2 ( - 2 )} : - \frac{5 ( N + N ^{2} - 40 N + 840 - 20 )}{2}

t = \frac{- ( 200 - N 10 ) - 10 N ^{2} - 40 N + 840}{2 ( - 2 )} : - \frac{5 ( N - N ^{2} - 40 N + 840 - 20 )}{2}

二次equationの解:

t = - \frac{5 ( N + N ^{2} - 40 N + 840 - 20 )}{2}, t = - \frac{5 ( N - N ^{2} - 40 N + 840 - 20 )}{2}

グラフ

人気の例

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