The sum of the squares of two consecutive odd numbers is 514. Find the numbers.
Find length and breadth of a rectangular park whose perimeter is 100 m and area is 600 m².
The numerator of a fraction is 3 less than its denominator. If 2 is added to both of its numerator and denominator then the sum of the new fraction and original fraction is 29/20. Find the original fraction.
A train covers a distance of 300 km at a uniform speed. If the speed of the train is increased by 5 km/hr, it takes 2 hours less in the journey. Find the original speed of the train.
Solve for x : 6x² - 2x + 1/6 = 0
Find the value of 'k' for which the quadratic equation 9x² + 8kx + 16 = 0 has real and equal roots.
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