SOLUTION: If f(x) = (3x + a), determine the values of 'a' for which, f(x2 + x + 2) - f(3x - a) = 0 will have real roots.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If f(x) = (3x + a), determine the values of 'a' for which, f(x2 + x + 2) - f(3x - a) = 0 will have real roots.      Log On


   

Question 953880: If f(x) = (3x + a), determine the values of 'a' for which, f(x2 + x + 2) - f(3x - a) = 0 will have real roots.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The expression will require substitutions into the function.

Calculate your expression and simplify.
Set the discriminant to greater-than-or-equal to zero.
Solve the inequality for a.