Please check if I did this right...

Question

√(2x+1)+7= 3
-7 -7
√(2x+1)= -4
Square everything
√(2x+1)^2= -4^2
2x+1=16
-1 -1
2x=15
divide by 2 on both sides
x=7.5

CHECK: (Plug it in)

√(2(7.5)+1)+7= 3
√(16)+7= 3
4+7=3
11 doesn't equal 3
so the answer is no solution? right?

Answer 1

correct, no solution

Answer 2

Thank you so much!