SOLUTION: Please help me solve this problem: sqrt (29-x)= x+1

Question 877641: Please help me solve this problem: sqrt (29-x)= x+1
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Raise both sides to power of 2.
Simplify.

You found x=4 or x=-7 but the key said just x=4.
Let us see what we can find.

---- Is that left member factorable?
-
(x+4)(x-7), this one does not work;
(x-4)(x+7), this one works;

One of the factors is zero or the other factor is zero.
x=4, OR x=-7
Both solutions will work.

CHECK:

, Yes, x=4 works.
-

or-inclusive actually; so yes, this x=-7 also will work.
-
Both solutions are correct.
AND
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