Let a and b be the solutions to 2x^2 - 7x + 13 = 0. Find 1/a + 1/b.
1/a + 1/b = (a + b) / ab
The sum of the roots = a + b = (7/2)
The product of the roots = ab = (13/2 )
So
1/a + 1/b = (7/2) /(13/2) = 7 / 13
