if alpha and beta are the zeros of x²+5x+8 then find 1\alpha +1\beta
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if alpha and beta are the zeros of x²+5x+8 then find 1\alpha +1\beta
⭐Solution⭐
➡given equations
x²+5x+8=0........(1)
let alpha = a and beta = b,
so, these are zeros equations (1) .
so,
sum of zeros = -(coefficient of x)/(coefficient of x2)
(a+b) = -5/1
(a+b) = -5 ...(2)
and,
product of zeros = constant part /(coefficient of x2)
ab = 8....(3)
so,
1/a + 1/b
= (a+b)/(ab)
keep value by (2) and (3)
we get,
= (-5)/8
= -5/8
✨Thats answer✨
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