Answer:
x = 8
Explanation:
√x + 4 - 3 = 1
1) Move constant terms to the opposite side of the equation: √x + 4 = 1 + 3
2) Simplify the right side: √x + 4 = 4
3) Now square both sides to eliminate the square root: (√x + 4)^2 = 4^2 (x + 4) = 16
4) Move the constant term to the other side: x + 4 = 16 – 4
5) Simplify the right side: x + 4 = 12
6) Move constant side to the other side: x = 12 – 4
7) Finally, after simplifying the right side again, you get: x = 8
Therefore, the solution to the equation √(x + 4) - 3 = 1 is x = 8.