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

Find the values of a for which all the roots of the equation x^4-4x^3-8x^2+a=0 are real.

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 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,

The value of a for which each one of the roots of x^2-4ax+2a^2 -3a +5=0 is greater than 2, are

The values of a for which one root of the equation, x^(2)+(2a+1)x+(a-2)=0 is greater than 1 and the other root less than zero, is

The values of lamda for which one root of the equation x^2+(1-2lamda)x+(lamda^2-lamda-2)=0 is greater than 3 and the other smaller than 2 are given by

The values of lamda for which one root of the equation x^2+(1-2lamda)x+(lamda^2-lamda-2)=0 is greater than 3 and the other smaller than 2 are given by