# SOLUTION: I need help finding the solution to this problem (solve for y): Sqrt(y) + 4 = 2 I know you subtract the 4 from both sides, leaving: Sqrt(y) = -2 and after that, I know it has s

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 172119: I need help finding the solution to this problem (solve for y): Sqrt(y) + 4 = 2 I know you subtract the 4 from both sides, leaving: Sqrt(y) = -2 and after that, I know it has something to do with the number "i" but I am lost! Help please!Found 2 solutions by stanbon, Earlsdon:Answer by stanbon(57282)   (Show Source): You can put this solution on YOUR website!(solve for y): Sqrt(y) + 4 = 2 I know you subtract the 4 from both sides, leaving: Sqrt(y) = -2 ---------- Square both sides y = 4 ------------- Check the answer: sqrt(4) + 4 = 2 2 + 4 = 2 This is a contradiction. ----------------- Ans: There is no solution. ========================================== Cheers, Stan H. Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Solve for y: Subtract 4 from both sides. Now square both sides. Check: But or and if you were to select the positive value (2) you would see that the solution does not work... but the negative value (-2) does work.... So, we have an extraneous root (2) because of squaring which is to be discarded.