# SOLUTION: Solve: square root(3x+1)=1-square root(x+4)

Algebra ->  Algebra  -> Radicals -> SOLUTION: Solve: square root(3x+1)=1-square root(x+4)      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Question 209744This question is from textbook : Solve: square root(3x+1)=1-square root(x+4)This question is from textbook Answer by stanbon(57377)   (Show Source): You can put this solution on YOUR website!Solve: square root(3x+1)=1-square root(x+4) ----------------------- Square both sides: --- 3x+1 = 1 - 2sqrt(x+4) + x+4 2x-4 = -2sqrt(x+4) --- x-2 = -sqrt(x+4) --- Square both sides again: x^2 - 4x + 4 = x + 4 x^2 - 5x = 0 x(x-5) = 0 x = 0 or x = 5 ---------------------- Check the answers in the original equation: sqrt(3x+1) = 1-sqrt(x+4) checking x = 0: sqrt(1) = 1 - sqrt(4) ------- Wrong ------------------ checking x = 5: sqrt(16) = 1 - sqrt(9)-------Wrong ========================================= Conclusion: No solution ==================================================== Cheers, Stan H. Reply to stanbon@comcast.net