SOLUTION: Given: y = x^2 + 2x +6 Determine the zeros of the function. Give an algebraic reason for the existence or nonexistence of real-valued zeros.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Given: y = x^2 + 2x +6 Determine the zeros of the function. Give an algebraic reason for the existence or nonexistence of real-valued zeros.      Log On


   



Question 930675: Given: y = x^2 + 2x +6
Determine the zeros of the function. Give an algebraic reason for the existence or nonexistence of real-valued zeros.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
By the quadratic formula,



No real zeroes because the discriminant is negative. Another way to see that there are no real zeroes w/out using the discriminant is the fact that , but this is positive for all real x, so no real zero could exist.