Final answer:
To find the solution of √x2 + 49 = x + 5, isolate the square root term on one side of the equation and solve for x. The solutions are x = 11 and x = -4.
Step-by-step explanation:
To find the solution of the equation √x2 + 49 = x + 5, we need to isolate the square root term on one side of the equation. Subtracting x and 5 from both sides gives us √x2 - x - 44 = 0. Searching for factors of -44 that add up to -1, we find that -11 and 4 satisfy this condition. So, we can rewrite the equation as (√x - 11)(√x + 4) = 0. This equation is satisfied when either √x - 11 = 0 or √x + 4 = 0. Solving these two separate equations, we find x = 11 or x = -4 as the solutions.
Learn more about Solving equations involving square roots