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Given, x² - 4x - 1 = 0 ⇒ x - 4 - 1/x = 0 [Dividing both sides by x] ⇒ x - 1/x = 4 ⇒ (x - 1/x)² = 4² [Squaring on both sides] ⇒ x² + 1/x² - 2 = 16 ⇒ x² + 1/x² = 18
There are four pipes A, B, C and D where A and B are used to fill the tank and C and D are used to empty the tank. Pipe A and C together can fill the ta...
Pipe A can fill a tank in 45 minutes while pipe B can fill it in ____ minutes. There’s a leak in the tank which can empty it in _____minutes. When bot...
Pipe A can fill half of the tank in 6 hrs 2 min- Pipe B can fill the same tank completely in 18 hrs 5 min while pipe C can empty the fully filled tank i...
Tap ‘A’ and tap ‘B’ can fill a tank in 45 hours and 35 hours, respectively. If both taps are opened together, then find the time after which tap...
Two pipes, A and B, can independently fill the tank in 12 minutes and 15 minutes respectively, while pipe C can empty 11 gallons from the tank in 2 minu...
Pipes A and B can fill a tank in 12 minutes and 15 minutes, respectively, while outlet pipe C can empty the entire tank in 1 hour. All three pipes are ...
If a tank can be filled by a tap in 15 hours, but due to an outlet, it actually takes 5 hours longer to fill the tank, find the duration in which the ou...
Two inlet pipes M and N alone can fill a tank in 10 hours and 12 hours respectively and an outlet pipe P alone can empty the whole tank in 5 hours. Firs...
A tank has two inlet pipes A and B and an outlet pipe C. Pipe A can fill the tank in 6 hours, and Pipe B can fill it in 8 hours. Pipe C can empty the fu...
Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 6 hours while pipe ‘C’ takes 34 hours to empty it. ...
