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If x/12 − 3/x = 0, then the values of x are :
Find two consecutive odd integers, sum of whose squares is 290.
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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.
If 1/2 is a root of the quadratic equation x² - mx - 5/4 = 0, then value of m is:
Assertion(A): If one root of the quadratic equation 6x² – x – k = 0 is 2/3, then the value of k is 2. Reason(R): The quadratic equation ax² + bx + c = 0, a ≠ 0 has almost two roots.
Assertion (A): The solution of the quadratic equation (x-1)² - 5(x-1) - 6 = 0 is 7 Reason (R): The solution of the equation x² + 5x - (a² + a - 6) = 0 is a + 3
