SOLUTION: I need help on a problem similar to this one. Show me the proper way to solve without getting a negative answer. Thank You the square root of 7x+29 = x+3 I do not know how t

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Question 195655: I need help on a problem similar to this one. Show me the proper way to solve without getting a negative answer. Thank You
the square root of 7x+29 = x+3
I do not know how to insert the square root house but 7x+29 is in the house then " =x+3" is out of the house. Please help thank you.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Square both sides (to eliminate the square root)


FOIL


Get everything to one side


Combine like terms.


Notice we have a quadratic equation in the form of where , , and


Let's use the quadratic formula to solve for x


Start with the quadratic formula


Plug in , , and


Negate to get .


Square to get .


Multiply to get


Rewrite as


Add to to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Combine like terms.


or Simplify.


So the possible solutions are or


However, if you plug in back into the original equation, you'll get a contradiction.

So is NOT a solution


=======================================================

Answer:


So the solution is

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