Solve the equation: $\frac{1}{2 x - 5} + \frac{1}{2 x - 11} = \frac{1}{2 x - 7} + \frac{1}{2 x - 9}$

Created: 4 months ago | Updated: 1 week ago

Job Solution Modhumoti Bank Ltd Modhumoti Bank Ltd || Probationary officer (21-04-2017) || 2017 গণিত

$\frac{1}{2 x - 5} + \frac{1}{2 x - 11} = \frac{1}{2 x - 7} + \frac{1}{2 x - 9} \Rightarrow \frac{1}{2 x - 5} - \frac{1}{2 x - 9} = \frac{1}{2 x - 7} - \frac{1}{2 x - 11} \Rightarrow \frac{2 x - 9 - (2 x - 5)}{(2 x - 5) (2 x - 9)} = \frac{2 x - 11 - (2 x - 7)}{(2 x - 7) (2 x - 11)} \Rightarrow \frac{2 x - 9 - 2 x + 5}{4 x^{2} - 18 x - 10 x + 45} = \frac{2 x - 11 - 2 x + 7}{4 x^{2} - 22 x - 14 x + 77} \Rightarrow \frac{- 4}{4 x^{2} - 28 x + 45} = \frac{- 4}{4 x^{2} - 36 x + 77} \Rightarrow \frac{1}{4 x^{2} - 28 x + 45} = \frac{1}{4 x^{2} - 36 x + 77} \Rightarrow 4 x^{2} - 28 x + 45 = 4 x^{2} - 36 x + 77 \Rightarrow 4 x^{2} - 28 x - 4 x^{2} + 36 x = 77 - 45 \Rightarrow 8 x = 32 ∴ x = \frac{32}{8} = 4$

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In a mayoral election, candidate X received $\frac{1}{3}$ more votes than candidate Y, and candidate Y received $\frac{3}{4}$ fewer votes than candidate Z. If candidate Z received 24,000 votes, how many votes did candidate X receive?

Created: 4 months ago | Updated: 1 week ago

Job Solution Modhumoti Bank Ltd Modhumoti Bank Ltd. || Probationary Officer (2019) || 2019 গণিত

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A square is inscribed in a circle with radius 4 inches, how do you find the area of the region inside the circle and outside the square?

Created: 4 months ago | Updated: 1 week ago

Job Solution Modhumoti Bank Ltd Modhumoti Bank Ltd. || Probationary Officer (2019) || 2019 গণিত

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Solve the equation $\sqrt[3]{2 x \sqrt{x \sqrt{2 x}}} = 2$

Created: 4 months ago | Updated: 1 week ago

Job Solution Modhumoti Bank Ltd Modhumoti Bank Ltd. || Probationary Officer (2019) || 2019 গণিত

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A, B and C started a job which they can complete in 2 days . B can do the job in 5 days and C can do it in 4 days. After working for 1 day, both B and C left. How long would it take A to complete the rest of the job?

Created: 4 months ago | Updated: 1 week ago

Job Solution Modhumoti Bank Ltd Modhumoti Bank Ltd || Probationary officer (21-04-2017) || 2017 গণিত

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A man’s running speed is 3 times of his walking speed. He runs a distance and comes back by walking . Total time taken by him is 2 hours. What is the distance in miles if he runs 9 miles per hour?

Created: 4 months ago | Updated: 1 week ago

Job Solution Modhumoti Bank Ltd Modhumoti Bank Ltd || Probationary officer (21-04-2017) || 2017 গণিত

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Solve the equation: 12x-5+12x-11=12x-7+12x-9

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