what is the square root of (x) equals the square root of (x+3) minus 1?

Question

what is the square root of (x)= the square root of (x+3) with -1 on the outside of the square root of (x+3?

Answer 1

√x = √(x + 3) - 1

 

√x + 1 = √(x + 3)

 

(√x + 1)² = (√(x + 3))²

 

x + 2√x + 1 = x + 3

 

subtract x from both sides:

 

2√x + 1 = 3

 

subtract 1 from both sides:

 

2√x = 2

 

square both sides:

4x = 4

 

divide both sides by 4:

 

x = 1