Question

If one root of the equation 5x**2+13x+k=0 is the reciprocal of the other root, then find the value of k.

Answer 1

sum of roots = -b/a

product of roots = c/a

Let the roots be x , 1/x..[since one root is reciprocal of other]

x + 1/x = -13/5

x*1/x = m/5

1 = m/5

m = 5