Let \(\displaystyle{x}_{{{1}}},{x}_{{{2}}}\in{\mathbb{{{R}}}}\) be the roots of the

Coradossi7xod

Coradossi7xod

Answered question

2022-03-24

Let x1,x2R be the roots of the equation x2+px+q=0. Find p and q if it is known that x1+1 and x2+1 are the roots of the equation x2p2x+pq=0.

Answer & Explanation

Makenzie Hart

Makenzie Hart

Beginner2022-03-25Added 8 answers

Next substitute x1+x2=p into x1+x2+2=p2 to obtain 2p=p2, which you can solve for p.
To find q, expand (x1+1)(x2+1)=pq to get x1x2+(x1+x2)+1=pq, which is the same as qp+1=pq.
And you should not use x1,x2 to mean two different things.

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