Question

Please help with these two problems! I'm really stuck!

Which of the following is a solution to √x+10 +3=8? (The radical ends at 10)
my options are
x= 15
x=5
x=-5
x=-15


Identify all of the following solutions of √x+14+2=x.(the radical ends at 14)
my options are
x=-6
x=1
x=-6 and x=1
none of the above.

Thanks in advance I would really appreciate it!

Answer 1

√(x+10) +3=8

√(x+10) = 5

take square on both sides.

x+10 = 25

Answer 2

Thank you so much !!

Answer 3

For the second one:

√(x+14)+2=x

√(x+14) = x-2

take square on both sides,

x+14 = (x-2)^2

After you get 2 solutions, insert back into the equation and see if the solutions are real or not.