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if a,b,c are roots of x^3+4x+1=0,then (a+b)^-1+(b+c)^-1+(c+a)^-1=

if a,b,c are roots of x^3+4x+1=0,then (a+b)^-1+(b+c)^-1+(c+a)^-1=

Grade:12

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
6 years ago
Hi,

Write the 2nd equation and take the LCM. Now analyze the nemberator and denominator. You will see that in both numberator and denominator sum of roots, sum of roots taken two at a time and product of the roots forming.

Substitute the values to get the answer.

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