Question

a student concluded that the solution to the equation sqrt 2x+1+3=0 is x=4 Do you agree? Explain why or why not.

Answer 1

Answer:

  No.

Step-by-step explanation:

We assume you're concerned with

  $\sqrt{2x+1}+3=0$

The sum of a non-negative number and a positive number cannot be zero. The square root is always non-negative.

Answer 2

Answer:

1) I do not agree with the student because there is no real solution.

2) Solving the equation only gives possible solutions, but you must check them in the original equation.

3) Checking the solution in the original equation shows that 4 is an extraneous solution.