Let p and q be real numbers such that the roots of x^2+px+q=0 are real. Prove that the roots of x^2+px+q+(x+a)(2x+p)=0 are real, for any real number a.
Let p and q be real numbers such that the roots of x^2+px+q=0 are real. Prove that the roots of x^2+px+q+(x+a)(2x+p)=0 are real, for any real number a.
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