What is the condition that one root of the equation `ax^(2) + bx + c= 0 " "a!=0` should be double the other ?

The condition that one root of the equation ax^(2)+bx+c=0 may be square of the other is

The condition that the roots of the equation ax^2+bx+c=0 may differ by 5 is

Determine the condition for one root of the quadratic equation ax^(2) +bx + c = 0 to be thrice the other .

Find the condition that one root of the quadratic equation ax^(2)+bx+c=0 shall be n times the other, where n is positive integer.

Find the condition that one root of the quadratic equation ax^(2)+bx+c=0 shall be n times the other, where n is positive integer.

What is the condition that the equation ax^(2) + bx + c = 0 , where ,a is not eqaul to 0, has both the roots positive ?

If one root of the equation ax^(2) + bx + c = 0 is the reciprocal of the other root, then