SOLUTION: solve: x=sqrt3x+13-5= show work please

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Question 35547: solve: x=sqrt3x+13-5=
show work please

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!


Start by adding +5 to each side:


Next, square both sides:



This is quadratic, so set it equal to zero and factor! By the way, it ALWAYS factors in radical equations like this!


or

However, these answers are NOT guaranteed! They must be checked in the original equation:

Check x = -3




It checks!!

Check x = -4




It also checks!!

Final answer is x= -3 or x= -4.

R^2 at SCC

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