Question

The value 14 is an extraneous solution, so the equation has no real solutions.

Complete the sentence below.

You can tell that the equation has no real solutions from the second line, because taking the square root results in the

root only.

Answer 1

You can tell that the equation has no real solutions from the second line, because taking the square root results in the negative root only.

Reason: the square root symbol denotes the nonnegative (principal) root, so it cannot equal a negative number.