We know that, for a quadratic equation ax2 + bx + c, Sum of its roots = -b/a and product of roots = c/a For 2x2 + 3x – 9 = 0, => x1 + x2 = -3/2 and x1x2 = -9/2 For the equation whose roots are 1/x1 and 1/x2, Sum of roots = (1/x1) + (1/x2) = (x1 + x2)/x1x2 = -3/-9 = 1/3 Product of roots = 1/(x1x2) = -2/9 ∴ the quadratic equation = x2 - 1/3x - 2/9 = 9x2 - 3x - 2 = 0
If the sum of upstream and downstream speed is 30 km/hr and the speed of the current is 6 km/hr. Then find time taken to cover 84 km in downward?
The cost price of an item is 60% less than its marked price, which is 50% more than its selling price. What is the profit percent...
Speed of a boat in still water is 12 kmph and speed of stream is 9 kmph. A man rows to a place at a distance of 63 km and come back to starting point. T...
Two boats X and Y start towards each other from two places, 140 km apart. Speed of the boat X and Y in still water are 13km/hr and 15km/hr respectively....
Speed of boat is 20 km/hr. Speed of the stream is 20% less than speed of boat. Then find time taken by boat to go 90 km downstream.
A man goes downstream with a boat to some destination and returns upstream to his original place in 10hours. If the speed of the boat in still water a...
The downstream speed of a boat is 8 km/hr more than its upstream speed and the ratio of the speed of the boat in still water to the speed of the stream ...
A captain can navigate a ship at a speed of 5 km/hr in calm waters. With a current moving at a speed of 3 km/hr, he takes 12 hours longer to travel 'd' ...
A boat goes 60 km upstream in 4 hours and 50 km downstream in 2 hours, then the speed of the boat in still water is
Speed of boat is 20 km/hr. Speed of the stream is 15% less than speed of boat. Then find time taken by boat to go 74 km downstream?
