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Answer :-
Option D. -3/7
Solution :-
F(x) = 4x²+3x+7 = 0 ..(1)
quadratic equation is in the form of,
f(x) = x²-(α+β)x+αβ = 0
Frm (1), α+β = -3/4 αβ = 7/4
To find:-
1/α+1/β = (α+β) / αβ
= (-3/4) / (7/4)
= (-3/4)(4/7)
= -3/7
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