SOLUTION: The square root of 3n + 6 = 4 - n I'm sorry but I do not even know where to start

Question 807612: The square root of 3n + 6 = 4 - n
I'm sorry but I do not even know where to start
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Probably you meant
(That can be written as sqrt(3n+4)=4-n>

To solve equations that have a square root on one side of the equal sign,
your fist step would be squaring both sides of the equal sign.
You may be adding some "extraneous solutions" by doing that,
but you can eliminate extraneous solutions at the end.

has all the solutions of ,
and maybe a few more solutions.

The quadratic equation
can be factored to find the solutions.
The factored equation
indicates that the solutions derive from
-->
and , which would make
, which does not make sense.
So the only solution the original equation is .
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