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For the quadratic equation
The product of the zeros is c/a.
For your expression, in this form, is:
This makes your
a = 5
b = 13
c = -p
You are told that the zeros of your expression are reciprocals. Zeros of a polynomial are the values for the variable that make the polynomial equal to zero. IOW, they are soluti8ons to:
Inserting your "a" and "c" into c/a:
Since your zeros are reciprocals are reciprocals and since the product of any reciprocals is always a 1, c/a must be 1:
Now we just solve this for p. Multiplying each side by 5:
Multiplying (or dividing) both sides by -1: