hey im trying to find the solution set for the equation (*square root of x+1)+5=0. i keep arriving a -26 but apparently the answer is 0

Question

blockcolder · Answer

No, the answer's not 0. There's no answer.

anonymous · Answer

its multiple choice and thats an option but my teacher says its 0 how did you arrive at no solution

blockcolder · Answer

First of all, if you plug in x=0, $\sqrt{0+1}+5=6 \neq 0$, so it's wrong.
I knew that there was no solution because:
$$\sqrt{x+1}=-5\
x+1=25\
x=24$$
but $\sqrt{24+1}+5=10$, so x=24 also doesn't work.
Since the possible solution did not satisfy the problem and we found no other possibility, that means that there are in fact no solutions.

anonymous · Answer

hm thats strange because like i said my teacher says its 0

blockcolder · Answer

Did he say why it's 0?

anonymous · Answer

no she was just reading off the answers i guess ill have to take the problem to her and ask her to explain

blockcolder · Answer

You should. :D

anonymous · Answer

thank you for the help how you worked the problem really made sense