Question

If one zero of the quadratic polynomial p(y)=5y²+13y+m is reciprocal of the other, then find the value of m.

Answer 1

Let the zeros be a
& 1/a

5y²+13y+m

product of zeros
$= \frac{constant \: term}{coefficient \: of \: {y}^{2} }$


a×1/a=m/5

1=m/5

5=m

Answer 2

Answer:

Step-by-step explanation:

Let's the roots be a and 1/a

Then a(1/a)=m/5

or

1=m/5

OR

m=5