Question

If alpha and beta are the zeroes of the quadratic polynomial f(x)=3x^2 - 5x -2 find the value of 1/alpha + 1/beta

Answer 1

f(x) =3x^2-5x-2

f(x)=3x^2+1x-6x-2

f(x)=1x(3x+1)-2(3x+1)

f(x)=1x-2=0. 3x+1=0

f(x) =1x=2. 3x=-1

f(x)=x=2/1 x=-1/3

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Answer 2

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