SOLUTION: Solve. Square root of 9x + 55 = x + 5 Simplify and use comma to separate answers as needed. Thank you so much!!!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve. Square root of 9x + 55 = x + 5 Simplify and use comma to separate answers as needed. Thank you so much!!!      Log On


   

Question 322979: Solve.
Square root of 9x + 55 = x + 5
Simplify and use comma to separate answers as needed.
Thank you so much!!!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Presuming you mean:



which makes sense, instead of



which is really what you wrote, proceed as follows:

Square both sides:



Collect everything on the left:



Which is an easily factorable quadratic (6 plus -5 = 1, 6 times -5 equals -30).

Check both roots. One of them will not check. Exclude that root as extraneous -- introduced by squaring both sides of the equation in the first step.

John