If a,b are zeroes of polynomial p(x)=5x^2+5x+1 then find the value of a^–1+b^–1
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Step-by-step explanation:
given,
p(x) = 5x^2+5x+1
a,b are the zeros of the polynomial
a+b = -5/5
a+b = -1
ab = 1/5
a^-1+b^-1 = 1/a+1/b
1/a+1/b = b+a/ab
= -1/(1/5)
= (-1)(5)/1
= -5
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