SOLUTION: All the roots of x^2 + px + q = 0 are real, where p and q are real numbers. Prove that all the roots of x^2 + px + q + (x + a)(2x + p) = 0 are real, for any real number a.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: All the roots of x^2 + px + q = 0 are real, where p and q are real numbers. Prove that all the roots of x^2 + px + q + (x + a)(2x + p) = 0 are real, for any real number a.      Log On


   

Question 1171986: All the roots of
x^2 + px + q = 0 are real, where p and q are real numbers. Prove that all the roots of
x^2 + px + q + (x + a)(2x + p) = 0 are real, for any real number a.
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

duplicate.

Was considered and answered several times at this forum.