If alpha and beta are the zeros of the quadratic polynomial 5x2-7x+2 then find the sum of the reciprocals
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Sum of the roots in quadratic equation=-coefficient of x÷coefficient of x^2
alpha+beta=7÷5
Product of roots of quadratic equation=constant term÷coefficient of x^2
alpha×beta=2÷5
sum of reciprocal of the roots=sum of roots÷product of roots
=(alpha+beta)÷(alpha×beta)
=(7÷5)÷(2÷5)
=7÷2
Answer: The sum of reciprocal of roots is equal to 7÷2
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