Find all real solutions for
sqrt(2x+11) - sqrt(2x-5) = 2
Im not sure of how to do this question.. could someone help pleasee???
1. Determine the domain. With your question
2. Isolate the roots:
3. Square both sides:
4. Isolate the root .... square both sides of the equation ... isolate the root ... etc until there aren't any roots left. You finally get:
Solve for x.
5. Since squaring is not an equivalent transformation you must check if you got a valid solution: Plug in the value for x into the original equation and check if you get a true statement.