Find the condition in order that the equation `ax^4+4bx^3+6cx^2+4dx+e=0`
may have a pair of equal roots .

Solve the equation x^4 +4x^3 -2x^2 -12x +9=0 given that it has pairs of equal roots

FIND that condition that the roots of equation ax^3+3bx^2+3cx+d=0 may be in G.P.

Find the condition that, for the equation ax^(2)+bx+c=0 one root is m times the other.

Find the condition that the ratio between the roots of the equation ax^(2)+bx+c=0 may be m:n.

The condition that the roots of x^3 -bx^2 +cx -d=0 are in G.P is

Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+d=0 and 2ax^2+3b x+4c=0 have a common root.

If 1,2,3 and 4 are the roots of the equation x^4 + ax^3 + bx^2 +cx +d=0 then a+ 2b +c=

If the roots of the cubic equation ax^3+bx^2+cx+d=0 are in G.P then

if the difference of the roots of the equation x^(2)+ ax +b=0 is equal to the difference of the roots of the equation x^(2) +bx +a =0 ,then

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then