SOLUTION: Help in solving {{{2/5+x/3=1/x}}}

Question 875278: Help in solving
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

We could say we use a common denominator of :

Or we could say that we multiply times :

It's the same thing, we end up with
<---> <---> anyway,
and now we have to solve that quadratic equation.
Factoring does not work, so we have two options to solve that equation:

USING THE QUADRATIC FORMULA:
The quadratic formula says that the solutions (real or imaginary) of
are given by
.
In the case of ,
, , and , so

That can be simplified as

COMPLETING THE SQUARE:

Either
or
-->
-->
and both solutions can be expressed as
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