SOLUTION: how to solve problem y+6square root y=16? they say the answer is 4, but i don't know how they came to that conclusion

Question 145996: how to solve problem y+6square root y=16? they say the answer is 4, but i don't know how they came to that conclusion
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

Square both sides
36y = 256 - 32y + y^2}}}

Factor
(y - 4)(y - 64) = 0
y = 4, y = 64
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

I define a new variable to be
Taking the square root of both sides,
Sustituting,

Putting back in terms of

and

Now I substitute these answers in the original equation

and

It looks like they are only allowing to be
positive, so and are the answers
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