Hi could someone help me with this problem?
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.
Thank you so much!
The roots of x^2 + px + q = 0 are real, and the roots of (x + a)(2x + p) = 0 are real, so the roots of x^2 + px + q + (x + a)(2x + p) = 0 are real.
+284 
