Solve the following mathematical problems with sufficient calculations.

Solve the equation: $\frac{1}{x - 3} + \frac{1}{x - 4} = \frac{1}{x - 2} + \frac{1}{x - 5}$

Created: 3 months ago | Updated: 3 months ago

Job Solution Investment Corporation Of Bangladesh Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) || 2019 গণিত

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$\frac{1}{x - 3} + \frac{1}{x - 4} = \frac{1}{x - 2} + \frac{1}{x - 5}$

$\Rightarrow \frac{1}{x - 3} - \frac{1}{x - 5} = \frac{1}{x - 2} - \frac{1}{x - 4}$

$\Rightarrow \frac{x - 5 - x + 3}{(x - 3) (x - 5)} = \frac{x - 4 - x + 2}{(x - 2) (x - 4)}$

$\Rightarrow \frac{- 2}{x^{2} - 5 x - 3 x + 15} = \frac{- 2}{x^{2} - 4 x - 2 x + 8}$

$\Rightarrow \frac{1}{x^{2} - 8 x + 15} = \frac{1}{x^{2} - 6 x + 8}$ [Dividing both sides by - 2]

$\Rightarrow x^{2} - 8 x + 15 = x^{2} - 6 x + 8$

$\Rightarrow - 8 x + 6 x = 8 - 15$

$\Rightarrow - 2 x = - 7$

$∴ x = \frac{- 7}{- 2} = \frac{7}{2} (a n s w e r)$

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A pipe can fill up an empty tank in 12 minutes. Another pipe flows out 14 liter of water per minute. If the two pipes are opened together and the empty tank is filled up in 96 minutes, how much water does the tank contain?

Created: 3 months ago | Updated: 3 months ago

Job Solution Investment Corporation Of Bangladesh Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) || 2019 গণিত

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Solve the following mathematical problems with sufficient calculations.

Convert ${11.8}_{10}$ into binary number and convert ${10,111.011}_{2}$ into decimal equivalent.

Created: 3 months ago | Updated: 3 months ago

Job Solution Investment Corporation Of Bangladesh Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) || 2019 গণিত

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Solve the following mathematical problems with sufficient calculations.

50 persons can do a work in 12 days by working 8 hours a day. Working how many hours per day can 60 persons finish the work in 16 days?

Created: 3 months ago | Updated: 3 months ago

Job Solution Investment Corporation Of Bangladesh Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) || 2019 গণিত

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Solve the following mathematical problems with sufficient calculations.

Simplify: $\frac{\log \sqrt{27} + l o g 8 - l o g \sqrt{1000}}{\log 1.2}$

Created: 3 months ago | Updated: 3 months ago

Job Solution Investment Corporation Of Bangladesh Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) || 2019 গণিত

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Solve the following mathematical problems with sufficient calculations.

Solve the equation: 1x-3+1x-4=1x-2+1x-5

Related Questions

Solve the following mathematical problems with sufficient calculations.

A pipe can fill up an empty tank in 12 minutes. Another pipe flows out 14 liter of water per minute. If the two pipes are opened together and the empty tank is filled up in 96 minutes, how much water does the tank contain?

Solve the following mathematical problems with sufficient calculations.

Convert 11.810 into binary number and convert 10,111.0112 into decimal equivalent.

Solve the following mathematical problems with sufficient calculations.

50 persons can do a work in 12 days by working 8 hours a day. Working how many hours per day can 60 persons finish the work in 16 days?

Solve the following mathematical problems with sufficient calculations.

Simplify: log27+log8-log1000log1.2

Solve the equation: $\frac{1}{x - 3} + \frac{1}{x - 4} = \frac{1}{x - 2} + \frac{1}{x - 5}$

Convert ${11.8}_{10}$ into binary number and convert ${10,111.011}_{2}$ into decimal equivalent.

Simplify: $\frac{\log \sqrt{27} + l o g 8 - l o g \sqrt{1000}}{\log 1.2}$