[" If "px^(3)+qx^(2)+rx+s=0" is a "],[" reciprocal equation of "],[" second type then "]

If x^(4) + px^(3) + rx + s^(2) is a perfect square then ps =

If px^(3)+qx^(2)+rx+s=0 is a R.E .of second type then p=s,q=r p=-s,q=-r p=s,q=-r p=-s ,q=r

find the condition that px^(3) + qx^(2) +rx +s=0 has exactly one real roots, where p ,q ,r,s,in R

find the condition that px^(3) + qx^(2) +rx +s=0 has exactly one real roots, where p ,q ,r,s,in R

If the roots of x^(5) - 40 x^(4) + Px^(3) + Qx^(2) + Rx + S = 0 are in G.P. and sum of their reciprocals is 10, then |S| is equal to

If roots of equation px^2 + qx + 3 = 0 are reciprocal, then

Prove that the sum of any two of the roots of the equation x^4 -px^3 +qx^2 -rx +s =0 is equal to the sum of the remaining two roots of the equation iff p^3 -4pq +8r =0

Prove that the sum of any two of the roots of the equation x^4 +px^3 +qx^2 +rx +s =0 is equal to the sum of the remaining two roots of the equation iff p^3 -4pq +8r =0