The quadratic formula is [tex] \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} [/tex]
If the square root in the numerator is equal to 0, we are left with [tex] \frac{-b +/- 0}{2a} [/tex]
when you do the plus or minus, the answers will be the same since you are adding and subtracting 0. Therefore there will be two identical rational solutions.