Question

If 1 zero of polynomial 5z2+13z-p is reciprocal of the other find p

Answer 1

Answer:

Step-by-step explanation:

5z^2 + 13 z - p =0

let root is x & 1/x

product of roots = x*1/x = -p/5

or p = - 5 answer

proof--------------

5 z^2 + 13 z + 5 =0

z = [ -13 +_ sqrt(169- 100]/10

so z= [-13 + sqrt69]/10 & z= [- 13 - sqrt69]/10

so [-13 + sqrt69]/10 X [-13- sqrt69]/10=-1/100 [ 69-169] = 1

Answer 2

Refer the attachment.