SOLUTION: solve. sqrt(9x+67)=x+5 The solution is x= (simplify answer). Please help me solve.

Algebra ->  Radicals -> SOLUTION: solve. sqrt(9x+67)=x+5 The solution is x= (simplify answer). Please help me solve.      Log On


   

Question 263977: solve.
sqrt(9x+67)=x+5
The solution is x=
(simplify answer).
Please help me solve.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: If you square both sides of sqrt%289x%2B67%29=x%2B5 you get 9x%2B67=%28x%2B5%29%5E2. FOIL out the right side to get 9x%2B67=x%5E2%2B10x%2B25


From there, get every term to one side to get x%5E2%2Bx-42=0. Now either factor or use the quadratic formula to solve for 'x'. Don't forget to check your answers by plugging them back into sqrt%289x%2B67%29=x%2B5