Final answer:
The given equation has an extraneous solution. This means that the solution derived from the solving method is not valid when substituted back into the original equation.
Step-by-step explanation:
The equation presented in your question is 2√x + 3 + 4 = 5. Based on your question, it seems like you'd like to clarify whether the solution for this equation is extraneous or non-extraneous. An extraneous solution is one that emerges from the process of solving the equation but doesn't actually satisfy the original equation.
To find out if the solution is extraneous or not, let's simplify and solve the equation. We get 2√x = -2 after simplifying the equation and then √x = -1. After squaring both sides to eliminate the square root, we get x = 1. However, if we substitute x=1 back into the original equation, it comes out as false. Therefore, the solution x=1 to the equation is an extraneous solution, meaning the equation has no solution in the real number system.
Learn more about Extraneous Solutions