Question 1113525
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x - {{{1/x}}} = {{{16/15}}}


15x^2 - 16x - 15 = 0


{{{x[1,2]}}} = {{{(16 +- sqrt(16^2 + 4*15*15))/(2*15)}}} = {{{(16 +- 34)/30}}}


{{{x[1]}}} = {{{(16 + 34)/30}}} = {{{50/30}}} = {{{5/3}}}


{{{x[2]}}} = {{{(16 - 34)/30}}} = {{{-18/30}}} = {{{-3/5}}}



<U>Check</U>.  {{{5/3 - 3/5}}} = {{{25/15 - 9/15}}} = {{{16/15}}}.  ! Correct !


        {{{-3/5 + 5/3}}} = {{{-9/15 + 25/15}}} = {{{16/15}}}.   ! Correct !


<U>Answer</U>.  Two solutions  are  {{{-3/5}}}  and  {{{5/3}}}.



{{{graph( 330, 330, -2.5, 2.5, -2.5, 2.5,
          x - 1/x, 16/15
)}}}


Plot y = {{{x - 1/x}}} (red) and y = {{{16/15}}} (green)
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