Question
I. 6x2 + 23x + 10 = 0 II.
2y2 - 3y - 5 = 0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.Solution
I. 6x2Â + 23x + 10 = 0 => 6x2Â + 20x + 3x + 10 = 0 => 2x(3x + 10) + 1(3x + 10) = 0 => (2x + 1) (3x + 10) = 0 => x = -1/2, -10/3 II. 2y2Â - 3y - 5 = 0 => 2y2Â - 5y + 2y - 5 = 0 => y(2y - 5) + 1(2y - 5) = 0 => (y + 1) (2y - 5) = 0 => y = -1, 5/2 Hence, x = y or the relationship cannot be established.
The speed of boat in still water is 48 kmph. If it takes 5 hour to go upstream 40 kms, in what time approximately will it return same distance downstrea...
The speed of Boat is given as 20 km/hr and 28 km/hr while travelling to Upstream and downstream individually.Then, the boat travelled for ‘T’ hours ...
Speed of a boat in still water is 48 km/h and the speed of stream is 25% of the speed of boat in still water. If the time taken by boat to cover a dista...
The speed of a boat in still water is 10 kmph. It covers a distance of 60 km downstream in 5 hrs. The speed (in kmph) of the stream is
The speed of boat downstream and upstream is 32 km/hr and 24 km/hr respectively. Time taken to travel a distance of (d + 55) km downstream and (e + 35) ...
When travelling downstream, a boat takes 6 hours to travel 240 km. If the speed of the stream is (3/8)th of downstream speed of the boat, the...
A boat can cover 200 km in upstream in 10 hours and 220 km in downstream in 4 hours. Find the speed of the stream.
A boat can cover 200 km in downstream in 10 hours and 150 km in upstream in 15 hours. Find the distance travelled by the boat in still water in 5 hours.
(√3364+ √484) – √2916÷ √1296 × √36 ÷ √64 = ?
A boat travels 30 km upstream and 45 km downstream in 6 hours. If the speed of the stream is 4 km/h and the boat’s speed in still water is 8 km/h, wha...
