SOLUTION: determinethe set of values of p for which {{{5x^2-7x+p=0}}} has complex roots.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: determinethe set of values of p for which {{{5x^2-7x+p=0}}} has complex roots.      Log On


   

Question 704747: determinethe set of values of p for which 5x%5E2-7x%2Bp=0 has complex roots.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If the general solution to x contains an expression under the radical that is negative, then the quadratic equation will have two complex roots. You are looking for %28-7%29%5E2-4%2A5%2Ap%3C0.

49-20p%3C0
49%3C20p
49%2F20%3Cp, Pick any such value.