Question

Express the equation 1/x – 1/(x – 2) = 3, (x ≠ 0, 2) as a quadratic equation in standard form. Hence, find the roots of the quadratic equation so obtained.

Find two consecutive odd integers, sum of whose squares is 290.

A charity trust decides to build a rectangular hall having an area of 300 m². The length of the hall is one metre more than twice its width. Find the length and breadth of the hall.

Three consecutive positive integers are such that the sum of the square of smallest and product of other two is 67. Find the numbers, using quadratic equation.