Find all values of a for which both roots of the equation `x^2-6ax+2-2a+9a^2=0` are greater then 3.

Find the set of all values of a for which the roots of the equation x^(2)-2ax+a^(2)+a-3=0 are less than 3

Find all values of a for which atleast one of the roots of the equation x^(2)-(a-3)x+a=0 is greater than 2

Find all the values of 'a' for which both the roots of the equation (a-2)x^(2)-2ax+a=0 lies in the interval (-2,1).

Find all values of a for which the sum of the roots of the equation x^(2)-2a(x-1)-1=0 is equal to the sum of the squares of its roots