Question

solve the equation. sqrt(p+9) +3=p

Answer 1

subtract 3 from both sides:

\[\sqrt{p+9}=p-3\]Squaring both sides will get you to the anser, but beware:
squaring can also introduce false solutions. To avoid these, do this:

1. p + 1 >= 0, due to the root.
2. p - 3 >= 0, because it is the outcome of the root.

Combine these to restrictions to see which values of p are valid.
Now go on squaring and solving. Should this yield some value of p that doesn't satisfy conditions 1 and 2, then this is not a valid solution.

Answer 2

i am lost on how to square them.

Answer 3

Squaring the root cancels it:\[p+9=(p-3)^2\]Now expand the right side.