Question 14Let $a$ and $b$ be the roots of the equation $x^2-mx+2=0.$ Suppose that $a+\tfrac1b$ and $b+\tfrac1a$ are the roots of the equation $x^2-px+q=0.$ What is $q?$$\dfrac{5}{2}$$\dfrac{7}{2}$$4$$\dfrac{9}{2}$$8$