SOLUTION: 6w+(23w^1/2)-104=0

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Question 949096: 6w+(23w^1/2)-104=0
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!



What about this:
?


That can be rewritten,


To begin solving,





Now easier to continue. Use general solution formula.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

6w+(23w^1/2)-104=0


Let   

Then  becomes: 



3a(2a + 13) – 8(2a + 13) = 0

(3a – 8)(2a + 13) = 0

3a – 8 = 0                   OR                  2a + 13 = 0

                        OR                              



 ---------- Substituting  for a

 ---- Squaring both sides





 ---------- Substituting  for a

No expression raised to a power results in a negative expression (< 0), so  is an EXTRANEOUS solution.

Therefore, only solution is:  

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