Question

Prove that if the sum of the sequences of the roots of the equation ax²+bx+c=0 is 1 then b²=2ac+a²
Please assist

Answer 1

Step-by-step explanation:

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 prove that 2a

2

c=c

2

b+b

2

a.