Find the sum of the squares of the roots of `ax^4+bx^3+cx^2+dx+e = 0 , a ne 0`.

Find the sum of the squares of the roots of 3x^3-2x^2+4x+1=0

Find the sum of squares of roots of the equation 2x^4 - 8x^3 + 6x^2 - 3=0

Find the condition that the roots of ax^3+bx^2+cx+d=0 are in H.P.

If the sum of the roots of the quadratic equation ax^2 + bx + c = 0 ( abc ne 0) is equal to the sum of the squares of their reciprocals, the sum of the squares of their reciprocals, then a/c , b/a , c/b are in H.P.

One of the roots of ax^(2) + bx + c = 0 is greater than 2 and the other is less than -1. If the roots of cx^(2) + bx + a = 0 are alpha and beta , then

Find the value of k for which the sum of the squares of the reciprocals of the roots of x^(2)+kx+9=0is(2)

If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 is equal to the sum of the squares of their reciprocals, then (a)/(c ), (b)/(a)" and "(c )/(b) are in

Find the condition that the roots of the equation ax^3+bx^2+cx+d=0 are in A.P.