Let a and b be the roots of the equation x^2-mx+2=0. suppose that a+1/b and b+1/a are the roots of x^2-px+q=0. what is q?

From Vieta's formulas we know that when and are the roots of a quadratic equation:



then:



In the first equation , , and so:



For the second one we have: , , and so:

Horizontal change or the change of x