Question

Solve. Check for extraneous solutions.

(x + 3)^1/2 - 1 = x

sqrt 2x + 6 - sqrt x - 1 = 2

If you could show your work so I can follow along, that would be really helpful. Thank you!

Answer 1

(x+3)^1/2=x+1
x+3=(x+1)^2
x+3=x^2+2x+1
x^2+2x+1-x-3=0
x^2+x-2=0
(x+2)(x-1)=0

Answer 2

That makes SO much more sense now! Thank you so much!

Answer 3

you are welcome