Question

If a+1/a=m, a-1/a=n and a is not eqauls to 0; find the relation between m and n​

Answer 1

${ \huge \color{white} {\fcolorbox{aqua}{grey} { \underline {\underline{\cal{ S \sf olution} }}}}}$

$\sf(a + \frac{1}{a} {)}^{2} - {(a - \frac{1}{a} )}^{2} = 4$

$\sf \implies {m}^{2} - {n}^{2} = 4 \: which \: is \: the \: required \: relation$

Hope it helps you...

Answer 2

${ \huge \color{lime} {\fcolorbox{aqua}{grey} { \underline {\underline{\cal{ S \sf olution} }}}}}$

$\sf(a + \frac{1}{a} {)}^{2} - {(a - \frac{1}{a} )}^{2} = 4$

$\sf \implies {m}^{2} - {n}^{2} = 4 \: which \: is \: the \: required \: relation$

Hope it helps you...