Question
Tue May 29, 2012 By:

I DID NOT GET THE ANSWER TO THE QUESTION:IF ONE ROOT OF THE POLYNOMIAL 5X^2+13X+K IS RECIPROCAL OF THE OTHER,FIND THE VALUE OF K. PLEASE ELABORATE THE ANSWER IN SIMPLE WORDS

Expert Reply
Tue May 29, 2012
Given equation is: 5x2 + 13x + k
Here, Product of the roots is = C/A = k/5
 
Let the roots of equation are a and 1/a, 
So the product of root is ax(1/a) = 1
 
Therefore, k/5 = 1
Thus, k = 5.
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