Question

If one root of the polynomial
P(x) = is reciprocal of the other, then find value of k​

Answer 1

Answer:

Substituting α=a,β=1a,c=k and a=5 in the formula α×β=ca to determine the value of k. Hence, the value of 'k' in the equation f(x)=5x2+13x+k is 5 such that the roots are reciprocal to one another.