Question
I. 35 y² + 58 y + 24 = 0 II. 21 x² + 37
x + 12 = 0Solution
I. 35 y² + 58 y + 24 = 0 35 y² + 30 y + 28 y + 24 = 0 5 y(7 y + 6) + 4 (7 y + 6) = 0 (5 y + 4) (7 y + 6) = 0 y = -4/5, -6/7 II. 21 x² + 37 x + 12 = 0 21 x² + 9 x + 28 x + 12 = 0 3 x (7 x + 3) + 4 (7 x + 3) = 0 (3 x + 4) (7 x + 3) = 0 x = -4/3, -3/7 Hence, relationship cannot be established between x and y.
- The boat's downstream and upstream speeds are 24 km/hr and 16 km/hr respectively. If the time taken to cover a distance of (x + y) km upstream with stream ...
A boat takes 20 hours to go 200 km upstream. If the boat doubles its speed, it can cover 200 km downstream in 4 hours. Find the speed of the stream.
The ratio of the speed of boat in upstream to speed of boat in downstream is 7:9. If the boat can cover a total of 70 km upstream and 90 km downstream i...
The ratio of the distances traveled by a boat in upstream and downstream is 6:7, respectively, and the total time taken to cover the desired distance is...
The time taken by a boat to travel 'd' kilometers downstream is 8 hours, while the time taken to travel (d - 60) kilometers upstr...
A man can row at 6 kmph in still water. If the velocity of current is 4 kmph and it takes him 6 hour to row to a place and come back, how far is the place?
A Passenger boat started its journey from point A to B .After sometime when it is 156 km away from point B it is started to get sinking and passengers...
A man can row at 4 kmph in still water. If the velocity of current is 2 kmph and it takes him 5 hour to row to a place and come back, how far is the place?
If Boat goes 80 km upstream in 4 hours and 60 km downstream in 2 hours, then the speed of the boat in still water is
A man can go on a motor boat with a speed of 15 km/hour in still water, he goes to a certain distance upstream and come back to the starting point in a ...