Sum of zeroes of `bx^(2) + ax +c = ……………….`

Sum of the roots of bx^(2) + ax + c = 0 is

Sum of the roots of ax^(2) + bx + c = 0 is..

If the sum of the roots of ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then which one of the following relations is correct?

If one of the zeros of x^(3) + ax^(2) + bx + c is (-1) ,find the product of the other two zeros in terms of a + b

What will be one of the zeroes of p(x) = ax^2 +bx+c " if " a+c=b ?

ax^(2)+bx+c

If sum of the roots of ax^(2)+bx+c=0 is equal to the sum of the squares of their reciprocals then show that 2a^(2)c=ab^(2)+bc^(2) .

If the sum of the roots of ax^2bx +c = 0 is equal to the sum of the squares of their reciprocals, then show that c/a, a/b, b/c are in A.P.