Final answer:
To solve √(2x+5) = 5, square both sides to get 2x + 5 = 25, subtract 5 to get 2x = 20, and finally divide by 2 to find x = 10.
Step-by-step explanation:
The equation you need to solve is √(2x+5) = 5. To find the solution, first square both sides of the equation to remove the square root. This gives us (2x+5) = 5², which simplifies to 2x + 5 = 25. Next, to solve for x, subtract 5 from both sides to get 2x = 20. Then divide both sides by 2, resulting in x = 10.
This is the solution to the equation because if we substitute x back into the original equation, √(2(10)+5) equals 5, which is true.