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.

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.Com

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(52776) (Show Source): You can put this solution on YOUR website!
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duplicate.

Was considered and answered several times at this forum.

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