SOLUTION: College algebra last class to an associate degree...math illiterate..please help.. 5w+6 (inside radical) -w=2

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Question 264746: College algebra last class to an associate degree...math illiterate..please help..
5w+6 (inside radical) -w=2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285w%2B6%29-w=2 Start with the given equation.


sqrt%285w%2B6%29=w%2B2 Add 'w' to both sides.


5w%2B6=%28w%2B2%29%5E2 Square both sides to eliminate the square root.


5w%2B6=w%5E2%2B4w%2B4 FOIL


0=w%5E2%2B4w%2B4-5w-6 Get all terms to one side.


0=w%5E2-w-2 Combine like terms.


w%5E2-w-2=0 Rearrange the equation.


%28w-2%29%28w%2B1%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:

w-2=0 or w%2B1=0


w=2 or w=-1 Now solve for w in each case


So the possible answers are w=2 or w=-1


However, you need to check if they are actually the answers (by plugging them back into the original equation). I'll leave that up to you.