A student stated that there are two solutions to the equation √(3x + 7) = x - 7. Do you agree with the student? Explain why or why not.
I do not agree with the student because there is no real solution. Checking the solutions in the original equation verifies this; however, it is extraneous. Checking the solutions in the original equation shows that 6 is an extraneous solution. I agree with the student because both x = 7 and x = 6 satisfy the original equation.
Options:
A) I do not agree with the student because there is no real solution.
B) I do not agree with the student because there is one real solution.
C) I agree with the student because there are two real solutions.
D) I agree with the student because there are three real solutions.
