Question 1159525
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Divide both sides by v^2.  You will get

    {{{(u/v)^2 + 3*(u/v) - 10}}} = 0.    (1)


Introduce new variable  t = {{{u/v}}}.

Then equation (1) takes the form

    {{{t^2 + 3t - 10}}} = 0.


Factor left side

    (t+5)*(t-2) = 0.


The roots are  {{{t[1]}}} = - 5  and  {{{t[2]}}} = 2.


Hence,   {{{u/v}}} = -5  or  {{{u/v}}} = 2.    <U>ANSWER</U>
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Solved.