Question

Luca solved an equation as shown, and verified that his solution was correct. Explain what Luca’s error is and why his answer is not completely correct.

Answer 1

Does your response include the following?

Luca did not square the right side of the equation properly.

When the binomial with the radical term is squared, the result still has a radical.

After simplifying, both sides of the equation have to be squared again.

After simplifying, the resulting quadratic trinomial can be solved by factoring.

There are actually two solutions: x = 3 and x = 7.

Explanation:

Answer 2

*luca did not square right side of equation properly
*When the binomial with the radical term is squared, the result still has a radical
*There are 2 solutions x=3 and x=7