I have posted this question 5 times and still no reply. These IITians cant solve simple polynomial questions. Please show that you are IITians Q.1-> a^2=b+c b^2=c+a c^2=a+b find (1/a+1)+(1/b+1)+(1/c+1) Q.2-> If (1/b+c) +(1/c+a)=(2/a+b) find a^2+b^2 please give the solution.

a^2 - b^2 = b - a
(a+b) (a-b) = b-a
Hence, a + b = -1
Similarly,
b+c = -1
c+a = -1
a+b = -1
Now subtract any two derived equations :
b - a = 0, c - b = 0, a - c = 0
Hence, a = b = c = -1/2
Hence, now the given equation = 3/a+1 = 6
Answer = 6

Q2 : Take LCM ,
(2c+a+b)/(a+c)(b+c) = 2/a+b
Cross multiply:
a^2 + b^2 + 2ab + 2bc + 2ac = 2bc + 2ab + 2c^2 + 2ac
This gives,
a^2 + b^2 = 2. c^2

Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi