<s>[INST] If $a +b $,= 5 and $ab = 6$ . Find $\frac{1}{a}$ + $\frac{1}{b}$ $a +b $ = 5 and $ab = 6$ . Find $\cfrac{1}{a}$ + $\cfrac{1}{b}$
Any Ideas on how to begin?
Many Thanks
 [/INST] Since $a+b = 5$  and $ab = 6$, then $a,b$ can be the roots of polynomial $x^2-5x+6=0$
By fraction, $(x-2)(x-3) = 0$.
Out of symmetry, let $a = 2,b=3$, so $\frac{1}{a}+\frac{1}{b}= \frac{5}{6}$
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