x^2-25x+80 = -28x+75
x^2 + 3x + 5 = 0
Note that a/b + b/a = [a^2 + b^2 ] / [ab ]
Sum of roots = a + b = -3 square both sides
a^2 + 2ab + b^2 = 9 (1)
Product of roots = 5
So ab = 5
2ab = 10 (2)
Sub (2) into (1)
a^2 + 10 + b^2 = 9
a^2 + b^2 = -1
So a/b + b/a = -1 / 5