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??? :)

Printable View

- October 5th 2009, 11:11 PMfvaras89Equations
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??? :) - October 5th 2009, 11:42 PMearboth
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. - October 6th 2009, 08:07 AMpacman
i let

*y = sqrt(2x+11) - sqrt(2x-5) - 2, see my plot it may help you guess the answer*