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

Question 46370: Solve and check solution

sqrt (2y + 7) + 4 = y

Thank You!!!
Answer by Earlsdon(6294) (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.
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