Question

find the value of m for which the quadratic equations x^2-11x+m=0 and x^2-14x+2m=0 may have common root

Answer 1

The quadratic equations are very simple and just by subtracting one from the other we can get, m = 3x.

Putting the value of m in any first equation we get x = either 8 or 0 and in case of the second equation we get, x = either 11 or 0.

that means, from first we equation we get m = 24 and from second equation we get, x = 33. (Ans)