If α and β be the zeros of the polynomial f(y) = y2 – y – 4 , the value of 1/ α + 1/ β - α β is
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f(x)= y^2 -y-4
1/alpha+1/beta-alpha.beta=?
alpha+beta=-b/a
alpha.beta=c/a
By given information:
a=1
b= -1
c= -4
alpha+beta= -b/a= 1
alpha.beta= c/a= -4
1/alpha+ 1/beta- alpha.beta= alpha+beta/alpha.beta-alpha.beta
1/(-4)+4
=3.75
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