My Math Forum Don't use the rational root theorem to solve the following:

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 March 16th, 2016, 05:22 PM #1 Senior Member   Joined: Oct 2015 From: Antarctica Posts: 128 Thanks: 0 Don't use the rational root theorem to solve the following: Given the following problem, how might one go about solving this without a calculator and without using the rational root theorem: The sum of the solutions of $\displaystyle (x^2-3x)^2 - (3x^2 - 9x)=4$ is:
 March 16th, 2016, 05:38 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond Using the substitution $u=x^2-3x$, that equation simplifies to $u^2-3u-4=0$. Can you solve it now? Thanks from John Travolski
 March 16th, 2016, 06:00 PM #3 Senior Member   Joined: Oct 2015 From: Antarctica Posts: 128 Thanks: 0 I certainly can! Why do I never think of this stuff? It's frustrating how easy I overlook simple things like that. Thanks.
March 16th, 2016, 06:03 PM   #4
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 Originally Posted by John Travolski I certainly can! Why do I never think of this stuff? It's frustrating how easy I overlook simple things like that. Thanks.
Happens to the best of us .

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