<PRE><B>Question 541670</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;Let&#39;s first set up an equation using x as our variable:&lt;br&gt;

{{{x+1/x=85/42}}}&lt;br&gt;

Then we just need to solve for x:&lt;br&gt;

{{{42x+42/x=85}}}&lt;br&gt;

{{{42x^2+42x/x=85x}}}&lt;br&gt;

{{{42x^2+42=85x}}}&lt;br&gt;

{{{42x^2-85x+42=0}}}&lt;br&gt;

Then we can use the quadratic formula to solve for x:&lt;br&gt;

*[invoke quadratic &quot;x&quot;, 42, -85, 42]&lt;br&gt;

This gives us a good approximation to work with.&lt;br&gt;

Using an online factoring calculator, we find that our equation factors as:&lt;br&gt;

{{{(7x-6)(6x-7)=0}}}&lt;br&gt;

From this we can easily see that {{{x=6/7}}} or {{{x=7/6}}}&lt;br&gt;

It would take us a BIT of time to factor that equation properly and get the exact answer.&lt;br&gt;

I&#39;m trying to think of other ways off the top of my head to solve this.&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>