Can this be solved with any HP CAS?
09-30-2017, 09:10 AM
Post: #25
 Nigel (UK) Senior Member Posts: 351 Joined: Dec 2013
RE: Can this be solved with any HP CAS?
(09-29-2017 06:44 PM)SlideRule Wrote:  ...
OK, then expand the equation, collect terms & then simplify.

3x+(1/(x-5)) = 15+(1/(x-5))
expands to
3x² - 15x + 1 = 15x - 75 + 1
collect terms
...
BEST!
SlideRule
The problem is that the second equation above is only equivalent to the original equation when $$x\neq5$$, because going from the second equation to the original equation requires division by $$(x-5)$$ and when $$x=5$$ this isn't allowed. Because of this a solution to the second equation may not be a solution to the first equation.

Disclaimer: I am not a mathematician! This is just my understanding of the situation.

Nigel (UK)
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