# SOLUTION: Solve and check solution sqrt (2y + 7) + 4 = y Thank You!!!

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

 Click here to see ALL problems on Radicals Question 46370: Solve and check solution sqrt (2y + 7) + 4 = y Thank You!!!Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Solve and check: Subtract 4 from both sides. Now square both sides.(Caution! Squaring may introduce an extraneous root) Collect like-terms. Solve by factoring. Apply the zero products principle. and/or The roots are(?): y = 9 y = 1 Check y=9 = Checks! or The last solution is an extraneous solution introduced by squaring. Remember that or Check y=1 = or The first solution doesn't check. Extraneous solution was introduced when squaring during the solving process.