# If the sum of the roots of ax² + bx + c = 0 is equal to the sum of the squares :

If the sum of the roots of ax² + bx + c = 0 is equal to the sum of the squares of their reciprocals, then which one of the following relations is correct?

(a) ab^{2} + bc^{2} = 2a^{2}c

(b) ac^{2} + bc^{2} = ab^{2}a

(c) ab^{2} + bc^{2} = a^{2}c

(d) a^{2} + b^{2} + c^{2} = 1

**Answer: (b) ac ^{2} + bc^{2} = ab^{2}a**