solve the equation and please show the work.
sqrt x+2-5=0
To solve the equation sqrt(x + 2) - 5 = 0 and show the work, we need to isolate the variable x. Here's how:
Step 1: Add 5 to both sides of the equation to eliminate the constant term on the left side:
sqrt(x + 2) - 5 + 5 = 0 + 5
sqrt(x + 2) = 5
Step 2: Square both sides of the equation to eliminate the square root:
(sqrt(x + 2))^2 = 5^2
x + 2 = 25
Step 3: Subtract 2 from both sides of the equation to isolate the variable x:
x + 2 - 2 = 25 - 2
x = 23
Therefore, the solution to the equation sqrt(x + 2) - 5 = 0 is x = 23.