SOLUTION: How to solve for x in {{{sqrt(x+3)- sqrt(x-4)=1}}}.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: How to solve for x in {{{sqrt(x+3)- sqrt(x-4)=1}}}.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 438080: How to solve for x in
sqrt%28x%2B3%29-+sqrt%28x-4%29=1.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Move one of the radical expressions to the other side of the equation:



Square both sides:



Collect like terms and multiply by



Square both sides again



You can take it from here.

Remember to check your answer to make sure you haven't introduced an extraneous root.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism