Question: How do I Verify

I posted this question on the Newbie Forum without success, so I thought I should go ahead and post it here, too. My problem is simple algebra (except there is a lot of it). Every function involved is real, though I'm not sure exactly how to tell Maple that. The equation involves a term under a radical, which I think is the cause of my difficulties. To deal with the radical I use a the simplify/radical command, and I discover that the remaining radical exists in only one term. So I isolate that term on one side of the equation and square the equation. Then I discover that the variable I want to solve for is a common factor, and it appears in even powers. I do a subsitution and end up with a quadratic equation which I solve using the quadratic formula. When I plug the solutions back into the squared equation, I find that they correctly solve that form of the equation. However, when I plug them back into the original equation, I get a mess that I can't seem to simplify. I could use any help you can offer. I will attach a worksheet containing the relevant parts of my work here(with the messiest stuff removed). Download 1995_Diag_VerifySol.mws I appreciate any help you can offer. -Jim
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