Answer:
x^2 + {a/(a + b) + (a + b)/a}x + 1 = 0
Delta = {a/(a + b) + (a + b)/a}^2 - 4
= {a/(a + b)}^2 + {(a + b)/a}^2 + 2 - 4
= {a/(a + b)}^2 + {(a + b)/a}^2 - 2
= {a/(a + b) - (a + b)/a}^2
If a is not equal to zero and a is not equal to -b => delta is always larger than 0
=> Solution 1 = - [ {a/(a + b) + (a + b)/a} + |{a/(a + b) - (a + b)/a}| ]/2
=> Solution 2 = - [ {a/(a + b) + (a + b)/a} - |{a/(a + b) - (a + b)/a}| ]/2
Hope this helps!
:)