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人気のある代数 >

0.5F(1-F/(3000))-100=0

解

0.5 F (1 - \frac{F}{3000}) - 100 = 0

解

F = 300 (- \frac{55}{3} + 5), F = 300 (\frac{55}{3} + 5)

+1

十進法表記

F = 215.47674 \dots, F = 2784.52325 \dots

解答ステップ

0.5 F (1 - \frac{F}{3000}) - 100 = 0

以下で両辺を乗じる:

10

5 F (1 - \frac{F}{3000}) - 1000 = 0

拡張

5 F (1 - \frac{F}{3000}) - 1000 : 5 F - \frac{F ^{2}}{600} - 1000

5 F - \frac{F ^{2}}{600} - 1000 = 0

標準的な形式で書く

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

- \frac{F ^{2}}{600} + 5 F - 1000 = 0

解くとthe二次式

F_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - \frac{1}{600} ) ( - 1000 )}{2 ( - \frac{1}{600} )}

5^{2} - 4 (- \frac{1}{600}) (- 1000) = \frac{55}{3}

F_{1, 2} = \frac{- 5 \pm \frac{55}{3}}{2 ( - \frac{1}{600} )}

解を分離する

F_{1} = \frac{- 5 + \frac{55}{3}}{2 ( - \frac{1}{600} )}, F_{2} = \frac{- 5 - \frac{55}{3}}{2 ( - \frac{1}{600} )}

F = \frac{- 5 + \frac{55}{3}}{2 ( - \frac{1}{600} )} : 300 (- \frac{55}{3} + 5)

F = \frac{- 5 - \frac{55}{3}}{2 ( - \frac{1}{600} )} : 300 (\frac{55}{3} + 5)

二次equationの解:

F = 300 (- \frac{55}{3} + 5), F = 300 (\frac{55}{3} + 5)

グラフ

人気の例

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