Question

If alpha amd beta are the zeros of f(x) = 5x2+5x+1 then find value of (alpha)power-1 + (beta)power-1

Answer 1

here is your answer by Sujeet,
Given that,
polynomial. 5x²+5x+1
then,
sum of zeroes=-b/a=-5/5=-1
product of zeroes=c/a=1/5
then,
value of a-¹+b-¹
we know that exponent rule a-¹=1/a
then,
following the rule,
1/a+1/b

a+b/ab
-1/ 1/5
-5/1
-5


then,
Answer is -5


that's all