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<u>Given</u>:
Given that Mrs. Galicia’s solution for the equation.
We need to determine whether Mrs. Galicia’s solution is correct or not.
Also, we need to determine the correct solutions.
<u>Mrs. Galicia’s solution:</u>
Step 4:
Step 5:
After step 4, Mrs. Galicia’s did not take square root on both sides to determine the value of x.
Thus, Mrs. Galicia’s made in mistake in step 5, by solving the equation without taking square root on both sides.
Hence, Mrs. Galicia’s solution is wrong.
<u>Correct solutions:</u>
The equation is
Solving, we get;
Completing the square, we have;
Taking square root on both sides, we get;
Thus, the values of x are given by
and
and
Thus, the correct solutions are x = 9 and x = -1