I would appreciate any help with the following question.
Given that the roots of the equation x² + ax + (a + 2) = 0 differ by two, find the possible values of constant a.
Use the quadratic equation to get an expression for the two roots of the equation, and set the difference between them equal to two:
subtract, and set equal to 2:
Now solve for a - square both sides, rearrange, and use the quadratic formula.