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人気のある代数 >

c(t)=0.2t^2-2t+5000

解

c (t) = 0.2 t^{2} - 2 t + 5000

解

t = \frac{5 ( c + c ^{2} + 4 c - 3996 + 2 )}{2}, t = \frac{5 ( c + 2 - c ^{2} + 4 c - 3996 )}{2}

解答ステップ

c (t) = 0.2 t^{2} - 2 t + 5000

以下で両辺を乗じる:

10

c t \cdot 10 = 2 t^{2} - 20 t + 50000

辺を交換する

2 t^{2} - 20 t + 50000 = c t \cdot 10

c t 10

を左側に移動します

2 t^{2} - 20 t + 50000 - c t \cdot 10 = 0

標準的な形式で書く

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

2 t^{2} - (20 + c \cdot 10) t + 50000 = 0

解くとthe二次式

t_{1, 2} = \frac{- ( - 20 - c \cdot 10 ) \pm ( - 20 - c \cdot 10 ) ^{2} - 4 \cdot 2 \cdot 50000}{2 \cdot 2}

簡素化

(- 20 - c \cdot 10)^{2} - 4 \cdot 2 \cdot 50000 : 10 c^{2} + 4 c - 3996

t_{1, 2} = \frac{- ( - 20 - c \cdot 10 ) \pm 10 c ^{2} + 4 c - 3996}{2 \cdot 2}

解を分離する

t_{1} = \frac{- ( - 20 - c \cdot 10 ) + 10 c ^{2} + 4 c - 3996}{2 \cdot 2}, t_{2} = \frac{- ( - 20 - c \cdot 10 ) - 10 c ^{2} + 4 c - 3996}{2 \cdot 2}

t = \frac{- ( - 20 - c 10 ) + 10 c ^{2} + 4 c - 3996}{2 \cdot 2} : \frac{5 ( c + c ^{2} + 4 c - 3996 + 2 )}{2}

t = \frac{- ( - 20 - c 10 ) - 10 c ^{2} + 4 c - 3996}{2 \cdot 2} : \frac{5 ( c + 2 - c ^{2} + 4 c - 3996 )}{2}

二次equationの解:

t = \frac{5 ( c + c ^{2} + 4 c - 3996 + 2 )}{2}, t = \frac{5 ( c + 2 - c ^{2} + 4 c - 3996 )}{2}

グラフ

人気の例

8 x + 20 = x^{2}

0 = x^{2} + 2 x + 8

0 = x^{2} + 2 x - 7

completesquare 5x^2-10x+2=0

co m pl e t es q u a re 5 x^{2} - 10 x + 2 = 0

x^{2} = 4 - x^{2}