Question

if one zero of the quadratic polynomial p(y)=5y+13y+m is reciprocal of the other than find the value of m

Answer 1

Let the zeros be a and 1/a

p ( y ) = 5y² + 13y + m

=> Product of zeros =


$\frac{constant \: term}{coeff \: of \: {x}^{2} }$


=>

a × 1/a = m / 5

1 = m / 5

5 = m