Question

If one zero of p(x)= 5z^+13z+p is reciprocal of the other . Find p .

Answer 1

Hey

Here is your answer,

5z^2 + 13z + p = 0

Let the zeroes be alpha and 1/alpha.

Product of zeroes = c/a
Alpha x 1/alpha = p/5
p/5 = 1
p = 5

Hope it helps you!

Answer 2

Heya !!



Let one zero of the given quadratic polynomial be Alpha .


Other zero = 1/Alpha

P( X ) = 5Z² + 13Z + P


Here,


A = Coefficient of Z² = 5


B = Coefficient of Z = 13


And,


Constant term = P




Product of zeroes = C/A



Alpha × 1/Alpha = P/5




1 = P/5



P = 5.



Hope it will help you :-)