The roots of 7x^2 + x - 5 = 0 are a and b. Compute (a + 4)(b + 4)/(ab).
7x^2 + x - 5 = 0
a+b = -1/7, ab = -5/7
(a+4)(b+4) = 4(a+b) + ab + 16 = 4(-1/7)+(-5/7)+16 = 16 - 9/7 = 103/7
(a + 4)(b + 4)/(ab) = (103/7)/(-5/7) = -103/5