Question 1134880
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The problem asks you to find the number x based on this equation, which follows directly from the description


    x + {{{1/x}}} = {{{17/4}}}.


To solve it, multiply both sides by 4x. You will get


    4x^2 + 4 = 17x,   or, equivalently,


    4x^2 - 17x + 4 = 0.


Next step is to solve this quadratic equation. You can do it using the quadratic formula


    {{{x[1,2]}}} = {{{(17 +- sqrt(17^2 - 4*4*4))/(2*4)}}} = {{{(17 +- 15)/8}}}.


So, the problem has two solutions


    {{{x[1]}}} = {{{(17 + 15)/8}}} = {{{32/8}}} = 4,   and

    {{{x[2]}}} = {{{(17 - 15)/8}}} = {{{2/8}}} = {{{1/4}}}.
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Solved.



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